Capacitors with Dielectric
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359229 Two identical parallel plate air capacitors are connected in series to a battery of emf \(V\). If one of the capacitor is completely filled with dielectric material of constant \(K\), then potential difference of the other capacitor will become

1 \(\frac{K}{{V\left( {K + 1} \right)}}\)
2 \(\frac{{KV}}{{K + 1}}\)
3 \(\frac{{K - 1}}{{KV}}\)
4 \(\frac{V}{{K\left( {K + 1} \right)}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359230 A parallel plate capacitor with air between the plates has a capacitance of \({9 p F}\). The separation between its plates is \({d}\). The space between the plates is now filled with two dielectrics. One of the dielectric has dielectric constant \({=3}\) and thickness \({d / 3}\), while the other one has dielectric \({=6}\) and thickness \({\dfrac{2 d}{3}}\). Capacitance of the capacitor is now

1 \(1.8\,pF\)
2 \(45\,pF\)
3 \(40.5\,pF\)
4 \(20.25\,pF\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359231 A parallel plate capacitor with air as the dielectric has capacitance \(C\). A slab of dielectric constant \(K\) and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
supporting img

1 \((k + 3)\frac{C}{4}\)
2 \((k + 2)\frac{C}{4}\)
3 \((k + 1)\frac{C}{4}\)
4 \(\frac{{KC}}{4}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359232 An insulator plate is passed between the plates of a capacitor. Then the displacement current
supporting img

1 Always flows from \(B\) to \(A\)
2 Always flows from \(A\) to \(B\)
3 First flows from \(A\) to \(B\) and then from \(B\) to \(A\)
4 First flows from \(B\) to \(A\) then from \(A\) to \(B\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359229 Two identical parallel plate air capacitors are connected in series to a battery of emf \(V\). If one of the capacitor is completely filled with dielectric material of constant \(K\), then potential difference of the other capacitor will become

1 \(\frac{K}{{V\left( {K + 1} \right)}}\)
2 \(\frac{{KV}}{{K + 1}}\)
3 \(\frac{{K - 1}}{{KV}}\)
4 \(\frac{V}{{K\left( {K + 1} \right)}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359230 A parallel plate capacitor with air between the plates has a capacitance of \({9 p F}\). The separation between its plates is \({d}\). The space between the plates is now filled with two dielectrics. One of the dielectric has dielectric constant \({=3}\) and thickness \({d / 3}\), while the other one has dielectric \({=6}\) and thickness \({\dfrac{2 d}{3}}\). Capacitance of the capacitor is now

1 \(1.8\,pF\)
2 \(45\,pF\)
3 \(40.5\,pF\)
4 \(20.25\,pF\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359231 A parallel plate capacitor with air as the dielectric has capacitance \(C\). A slab of dielectric constant \(K\) and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
supporting img

1 \((k + 3)\frac{C}{4}\)
2 \((k + 2)\frac{C}{4}\)
3 \((k + 1)\frac{C}{4}\)
4 \(\frac{{KC}}{4}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359232 An insulator plate is passed between the plates of a capacitor. Then the displacement current
supporting img

1 Always flows from \(B\) to \(A\)
2 Always flows from \(A\) to \(B\)
3 First flows from \(A\) to \(B\) and then from \(B\) to \(A\)
4 First flows from \(B\) to \(A\) then from \(A\) to \(B\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359229 Two identical parallel plate air capacitors are connected in series to a battery of emf \(V\). If one of the capacitor is completely filled with dielectric material of constant \(K\), then potential difference of the other capacitor will become

1 \(\frac{K}{{V\left( {K + 1} \right)}}\)
2 \(\frac{{KV}}{{K + 1}}\)
3 \(\frac{{K - 1}}{{KV}}\)
4 \(\frac{V}{{K\left( {K + 1} \right)}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359230 A parallel plate capacitor with air between the plates has a capacitance of \({9 p F}\). The separation between its plates is \({d}\). The space between the plates is now filled with two dielectrics. One of the dielectric has dielectric constant \({=3}\) and thickness \({d / 3}\), while the other one has dielectric \({=6}\) and thickness \({\dfrac{2 d}{3}}\). Capacitance of the capacitor is now

1 \(1.8\,pF\)
2 \(45\,pF\)
3 \(40.5\,pF\)
4 \(20.25\,pF\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359231 A parallel plate capacitor with air as the dielectric has capacitance \(C\). A slab of dielectric constant \(K\) and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
supporting img

1 \((k + 3)\frac{C}{4}\)
2 \((k + 2)\frac{C}{4}\)
3 \((k + 1)\frac{C}{4}\)
4 \(\frac{{KC}}{4}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359232 An insulator plate is passed between the plates of a capacitor. Then the displacement current
supporting img

1 Always flows from \(B\) to \(A\)
2 Always flows from \(A\) to \(B\)
3 First flows from \(A\) to \(B\) and then from \(B\) to \(A\)
4 First flows from \(B\) to \(A\) then from \(A\) to \(B\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359229 Two identical parallel plate air capacitors are connected in series to a battery of emf \(V\). If one of the capacitor is completely filled with dielectric material of constant \(K\), then potential difference of the other capacitor will become

1 \(\frac{K}{{V\left( {K + 1} \right)}}\)
2 \(\frac{{KV}}{{K + 1}}\)
3 \(\frac{{K - 1}}{{KV}}\)
4 \(\frac{V}{{K\left( {K + 1} \right)}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359230 A parallel plate capacitor with air between the plates has a capacitance of \({9 p F}\). The separation between its plates is \({d}\). The space between the plates is now filled with two dielectrics. One of the dielectric has dielectric constant \({=3}\) and thickness \({d / 3}\), while the other one has dielectric \({=6}\) and thickness \({\dfrac{2 d}{3}}\). Capacitance of the capacitor is now

1 \(1.8\,pF\)
2 \(45\,pF\)
3 \(40.5\,pF\)
4 \(20.25\,pF\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359231 A parallel plate capacitor with air as the dielectric has capacitance \(C\). A slab of dielectric constant \(K\) and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
supporting img

1 \((k + 3)\frac{C}{4}\)
2 \((k + 2)\frac{C}{4}\)
3 \((k + 1)\frac{C}{4}\)
4 \(\frac{{KC}}{4}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359232 An insulator plate is passed between the plates of a capacitor. Then the displacement current
supporting img

1 Always flows from \(B\) to \(A\)
2 Always flows from \(A\) to \(B\)
3 First flows from \(A\) to \(B\) and then from \(B\) to \(A\)
4 First flows from \(B\) to \(A\) then from \(A\) to \(B\)