Capacitors with Dielectric
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359224 Consider a parallel plate capacitor of capacity \(10\mu F\) filled with air. When the gap between the plate is filled partly with a dielectric of dielectric constant 4, as shown in figure. The new capacity of the capacitor is (A is the area of plates)
supporting img

1 \(20\mu F\)
2 \(10\mu F\)
3 \(2.5\mu F\)
4 \(25\mu F\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359225 A capacitor of capacitance \(15\,\mu F\) having dielectric slab of \(\varepsilon_{r}=2.5\), dielectric strength \(30\,MV{\rm{/}}m\) and potential difference \( = 30\;V\). Calculate the area of the plate.

1 \(6.7 \times {10^{ - 4}}\,{m^2}\)
2 \(4.2 \times {10^{ - 4}}\,{m^2}\)
3 \(8.0 \times {10^{ - 4}}\,{m^2}\)
4 \(9.85 \times {10^{ - 4}}\,{m^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359226 A capacitor has charge \(50\mu C.\)When the gap between the plates is filled with glass wool then \(120\mu C\) charge flows through the battery. The dielectric constant of glass wool is

1 \(1.4\)
2 \(2.4\)
3 \(3.4\)
4 None of these
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359227 A parallel plate capacitor has plate area \(40\;c{m^2}\) and plate separation of \(2\;mm\). The space between the plates is filled with a dielectric medium of a thickness \(1\;mm\) and dielectric constant 5 . The capacitance of the system is

1 \(\dfrac{10}{3} \varepsilon_{0} F\)
2 \(24 \varepsilon_{0} F\)
3 \(\dfrac{3}{10} \varepsilon_{0} F\)
4 \(10 \varepsilon_{0} F\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359228 The space between the plates of a parallel plate capacitor is filled with \(a\) ‘dielectric’ whose ‘dielectric constant’ varies with distance as per the relation :\(K({\rm{x}}) = {K_o} + \lambda {\rm{x}}\) \((\lambda \)= a constant ) The capacitance \(C\), of this capacitor, would be related to its ‘vacuum’ capacitance \({C_0}\) as per the relation (\(d\) is the separation between the plates)

1 \(C = \frac{\lambda }{{d\ell n(1 + {K_0}/\lambda d)}}{C_0}\)
2 \(C = \frac{\lambda }{{d\ell n(1 + {K_0}\lambda d)}}{C_0}\)
3 \(C = \frac{{\lambda d}}{{\ell n(1 + {K_0}\lambda d)}}{C_0}\)
4 \(C = \frac{{\lambda d}}{{\ell n(1 + \lambda d/{K_0})}}{C_0}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359224 Consider a parallel plate capacitor of capacity \(10\mu F\) filled with air. When the gap between the plate is filled partly with a dielectric of dielectric constant 4, as shown in figure. The new capacity of the capacitor is (A is the area of plates)
supporting img

1 \(20\mu F\)
2 \(10\mu F\)
3 \(2.5\mu F\)
4 \(25\mu F\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359225 A capacitor of capacitance \(15\,\mu F\) having dielectric slab of \(\varepsilon_{r}=2.5\), dielectric strength \(30\,MV{\rm{/}}m\) and potential difference \( = 30\;V\). Calculate the area of the plate.

1 \(6.7 \times {10^{ - 4}}\,{m^2}\)
2 \(4.2 \times {10^{ - 4}}\,{m^2}\)
3 \(8.0 \times {10^{ - 4}}\,{m^2}\)
4 \(9.85 \times {10^{ - 4}}\,{m^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359226 A capacitor has charge \(50\mu C.\)When the gap between the plates is filled with glass wool then \(120\mu C\) charge flows through the battery. The dielectric constant of glass wool is

1 \(1.4\)
2 \(2.4\)
3 \(3.4\)
4 None of these
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359227 A parallel plate capacitor has plate area \(40\;c{m^2}\) and plate separation of \(2\;mm\). The space between the plates is filled with a dielectric medium of a thickness \(1\;mm\) and dielectric constant 5 . The capacitance of the system is

1 \(\dfrac{10}{3} \varepsilon_{0} F\)
2 \(24 \varepsilon_{0} F\)
3 \(\dfrac{3}{10} \varepsilon_{0} F\)
4 \(10 \varepsilon_{0} F\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359228 The space between the plates of a parallel plate capacitor is filled with \(a\) ‘dielectric’ whose ‘dielectric constant’ varies with distance as per the relation :\(K({\rm{x}}) = {K_o} + \lambda {\rm{x}}\) \((\lambda \)= a constant ) The capacitance \(C\), of this capacitor, would be related to its ‘vacuum’ capacitance \({C_0}\) as per the relation (\(d\) is the separation between the plates)

1 \(C = \frac{\lambda }{{d\ell n(1 + {K_0}/\lambda d)}}{C_0}\)
2 \(C = \frac{\lambda }{{d\ell n(1 + {K_0}\lambda d)}}{C_0}\)
3 \(C = \frac{{\lambda d}}{{\ell n(1 + {K_0}\lambda d)}}{C_0}\)
4 \(C = \frac{{\lambda d}}{{\ell n(1 + \lambda d/{K_0})}}{C_0}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359224 Consider a parallel plate capacitor of capacity \(10\mu F\) filled with air. When the gap between the plate is filled partly with a dielectric of dielectric constant 4, as shown in figure. The new capacity of the capacitor is (A is the area of plates)
supporting img

1 \(20\mu F\)
2 \(10\mu F\)
3 \(2.5\mu F\)
4 \(25\mu F\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359225 A capacitor of capacitance \(15\,\mu F\) having dielectric slab of \(\varepsilon_{r}=2.5\), dielectric strength \(30\,MV{\rm{/}}m\) and potential difference \( = 30\;V\). Calculate the area of the plate.

1 \(6.7 \times {10^{ - 4}}\,{m^2}\)
2 \(4.2 \times {10^{ - 4}}\,{m^2}\)
3 \(8.0 \times {10^{ - 4}}\,{m^2}\)
4 \(9.85 \times {10^{ - 4}}\,{m^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359226 A capacitor has charge \(50\mu C.\)When the gap between the plates is filled with glass wool then \(120\mu C\) charge flows through the battery. The dielectric constant of glass wool is

1 \(1.4\)
2 \(2.4\)
3 \(3.4\)
4 None of these
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359227 A parallel plate capacitor has plate area \(40\;c{m^2}\) and plate separation of \(2\;mm\). The space between the plates is filled with a dielectric medium of a thickness \(1\;mm\) and dielectric constant 5 . The capacitance of the system is

1 \(\dfrac{10}{3} \varepsilon_{0} F\)
2 \(24 \varepsilon_{0} F\)
3 \(\dfrac{3}{10} \varepsilon_{0} F\)
4 \(10 \varepsilon_{0} F\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359228 The space between the plates of a parallel plate capacitor is filled with \(a\) ‘dielectric’ whose ‘dielectric constant’ varies with distance as per the relation :\(K({\rm{x}}) = {K_o} + \lambda {\rm{x}}\) \((\lambda \)= a constant ) The capacitance \(C\), of this capacitor, would be related to its ‘vacuum’ capacitance \({C_0}\) as per the relation (\(d\) is the separation between the plates)

1 \(C = \frac{\lambda }{{d\ell n(1 + {K_0}/\lambda d)}}{C_0}\)
2 \(C = \frac{\lambda }{{d\ell n(1 + {K_0}\lambda d)}}{C_0}\)
3 \(C = \frac{{\lambda d}}{{\ell n(1 + {K_0}\lambda d)}}{C_0}\)
4 \(C = \frac{{\lambda d}}{{\ell n(1 + \lambda d/{K_0})}}{C_0}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359224 Consider a parallel plate capacitor of capacity \(10\mu F\) filled with air. When the gap between the plate is filled partly with a dielectric of dielectric constant 4, as shown in figure. The new capacity of the capacitor is (A is the area of plates)
supporting img

1 \(20\mu F\)
2 \(10\mu F\)
3 \(2.5\mu F\)
4 \(25\mu F\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359225 A capacitor of capacitance \(15\,\mu F\) having dielectric slab of \(\varepsilon_{r}=2.5\), dielectric strength \(30\,MV{\rm{/}}m\) and potential difference \( = 30\;V\). Calculate the area of the plate.

1 \(6.7 \times {10^{ - 4}}\,{m^2}\)
2 \(4.2 \times {10^{ - 4}}\,{m^2}\)
3 \(8.0 \times {10^{ - 4}}\,{m^2}\)
4 \(9.85 \times {10^{ - 4}}\,{m^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359226 A capacitor has charge \(50\mu C.\)When the gap between the plates is filled with glass wool then \(120\mu C\) charge flows through the battery. The dielectric constant of glass wool is

1 \(1.4\)
2 \(2.4\)
3 \(3.4\)
4 None of these
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359227 A parallel plate capacitor has plate area \(40\;c{m^2}\) and plate separation of \(2\;mm\). The space between the plates is filled with a dielectric medium of a thickness \(1\;mm\) and dielectric constant 5 . The capacitance of the system is

1 \(\dfrac{10}{3} \varepsilon_{0} F\)
2 \(24 \varepsilon_{0} F\)
3 \(\dfrac{3}{10} \varepsilon_{0} F\)
4 \(10 \varepsilon_{0} F\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359228 The space between the plates of a parallel plate capacitor is filled with \(a\) ‘dielectric’ whose ‘dielectric constant’ varies with distance as per the relation :\(K({\rm{x}}) = {K_o} + \lambda {\rm{x}}\) \((\lambda \)= a constant ) The capacitance \(C\), of this capacitor, would be related to its ‘vacuum’ capacitance \({C_0}\) as per the relation (\(d\) is the separation between the plates)

1 \(C = \frac{\lambda }{{d\ell n(1 + {K_0}/\lambda d)}}{C_0}\)
2 \(C = \frac{\lambda }{{d\ell n(1 + {K_0}\lambda d)}}{C_0}\)
3 \(C = \frac{{\lambda d}}{{\ell n(1 + {K_0}\lambda d)}}{C_0}\)
4 \(C = \frac{{\lambda d}}{{\ell n(1 + \lambda d/{K_0})}}{C_0}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359224 Consider a parallel plate capacitor of capacity \(10\mu F\) filled with air. When the gap between the plate is filled partly with a dielectric of dielectric constant 4, as shown in figure. The new capacity of the capacitor is (A is the area of plates)
supporting img

1 \(20\mu F\)
2 \(10\mu F\)
3 \(2.5\mu F\)
4 \(25\mu F\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359225 A capacitor of capacitance \(15\,\mu F\) having dielectric slab of \(\varepsilon_{r}=2.5\), dielectric strength \(30\,MV{\rm{/}}m\) and potential difference \( = 30\;V\). Calculate the area of the plate.

1 \(6.7 \times {10^{ - 4}}\,{m^2}\)
2 \(4.2 \times {10^{ - 4}}\,{m^2}\)
3 \(8.0 \times {10^{ - 4}}\,{m^2}\)
4 \(9.85 \times {10^{ - 4}}\,{m^2}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359226 A capacitor has charge \(50\mu C.\)When the gap between the plates is filled with glass wool then \(120\mu C\) charge flows through the battery. The dielectric constant of glass wool is

1 \(1.4\)
2 \(2.4\)
3 \(3.4\)
4 None of these
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359227 A parallel plate capacitor has plate area \(40\;c{m^2}\) and plate separation of \(2\;mm\). The space between the plates is filled with a dielectric medium of a thickness \(1\;mm\) and dielectric constant 5 . The capacitance of the system is

1 \(\dfrac{10}{3} \varepsilon_{0} F\)
2 \(24 \varepsilon_{0} F\)
3 \(\dfrac{3}{10} \varepsilon_{0} F\)
4 \(10 \varepsilon_{0} F\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359228 The space between the plates of a parallel plate capacitor is filled with \(a\) ‘dielectric’ whose ‘dielectric constant’ varies with distance as per the relation :\(K({\rm{x}}) = {K_o} + \lambda {\rm{x}}\) \((\lambda \)= a constant ) The capacitance \(C\), of this capacitor, would be related to its ‘vacuum’ capacitance \({C_0}\) as per the relation (\(d\) is the separation between the plates)

1 \(C = \frac{\lambda }{{d\ell n(1 + {K_0}/\lambda d)}}{C_0}\)
2 \(C = \frac{\lambda }{{d\ell n(1 + {K_0}\lambda d)}}{C_0}\)
3 \(C = \frac{{\lambda d}}{{\ell n(1 + {K_0}\lambda d)}}{C_0}\)
4 \(C = \frac{{\lambda d}}{{\ell n(1 + \lambda d/{K_0})}}{C_0}\)