Capacitors with Dielectric
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359169 A capacitor having capacitance \(1 \mu F\) with air, is filled with two dielectrics as shown below. The capacitance between \(A\) and \(B\) becomes times.
supporting img

1 12
2 6
3 \(8 / 3\)
4 3
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359170 Two parallel metal plates having charges \(+Q\) and \(-Q\) face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

1 remain same
2 become zero
3 increases
4 decrease
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359171 A parallel plate capacitor is made of two square plates of side \(a\), separated by a distance \(d\) \((d < < a)\). The lower triangular portion is filled with a dielectric constant \(K\), as shown in the figure. Capacitance of this capacitor is
supporting img

1 \(\frac{1}{2}\frac{{K{\varepsilon _0}{{\rm{a}}^2}}}{d}\)
2 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{{d\left( {K - 1} \right)}}\ln K\)
3 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{{2d\left( {K + 1} \right)}}\)
4 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{d}\ln K\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359172 Assertion :
When air between the plates of a parallel plate condenser is replaced by an insulating medium of dielectric constant its capacity increases.
Reason :
Electric field intensity between the plates with dielectric in between it is reduced.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359169 A capacitor having capacitance \(1 \mu F\) with air, is filled with two dielectrics as shown below. The capacitance between \(A\) and \(B\) becomes times.
supporting img

1 12
2 6
3 \(8 / 3\)
4 3
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359170 Two parallel metal plates having charges \(+Q\) and \(-Q\) face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

1 remain same
2 become zero
3 increases
4 decrease
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359171 A parallel plate capacitor is made of two square plates of side \(a\), separated by a distance \(d\) \((d < < a)\). The lower triangular portion is filled with a dielectric constant \(K\), as shown in the figure. Capacitance of this capacitor is
supporting img

1 \(\frac{1}{2}\frac{{K{\varepsilon _0}{{\rm{a}}^2}}}{d}\)
2 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{{d\left( {K - 1} \right)}}\ln K\)
3 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{{2d\left( {K + 1} \right)}}\)
4 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{d}\ln K\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359172 Assertion :
When air between the plates of a parallel plate condenser is replaced by an insulating medium of dielectric constant its capacity increases.
Reason :
Electric field intensity between the plates with dielectric in between it is reduced.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359169 A capacitor having capacitance \(1 \mu F\) with air, is filled with two dielectrics as shown below. The capacitance between \(A\) and \(B\) becomes times.
supporting img

1 12
2 6
3 \(8 / 3\)
4 3
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359170 Two parallel metal plates having charges \(+Q\) and \(-Q\) face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

1 remain same
2 become zero
3 increases
4 decrease
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359171 A parallel plate capacitor is made of two square plates of side \(a\), separated by a distance \(d\) \((d < < a)\). The lower triangular portion is filled with a dielectric constant \(K\), as shown in the figure. Capacitance of this capacitor is
supporting img

1 \(\frac{1}{2}\frac{{K{\varepsilon _0}{{\rm{a}}^2}}}{d}\)
2 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{{d\left( {K - 1} \right)}}\ln K\)
3 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{{2d\left( {K + 1} \right)}}\)
4 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{d}\ln K\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359172 Assertion :
When air between the plates of a parallel plate condenser is replaced by an insulating medium of dielectric constant its capacity increases.
Reason :
Electric field intensity between the plates with dielectric in between it is reduced.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359169 A capacitor having capacitance \(1 \mu F\) with air, is filled with two dielectrics as shown below. The capacitance between \(A\) and \(B\) becomes times.
supporting img

1 12
2 6
3 \(8 / 3\)
4 3
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359170 Two parallel metal plates having charges \(+Q\) and \(-Q\) face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

1 remain same
2 become zero
3 increases
4 decrease
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359171 A parallel plate capacitor is made of two square plates of side \(a\), separated by a distance \(d\) \((d < < a)\). The lower triangular portion is filled with a dielectric constant \(K\), as shown in the figure. Capacitance of this capacitor is
supporting img

1 \(\frac{1}{2}\frac{{K{\varepsilon _0}{{\rm{a}}^2}}}{d}\)
2 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{{d\left( {K - 1} \right)}}\ln K\)
3 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{{2d\left( {K + 1} \right)}}\)
4 \(\frac{{K\varepsilon _0^{}{{\rm{a}}^2}}}{d}\ln K\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359172 Assertion :
When air between the plates of a parallel plate condenser is replaced by an insulating medium of dielectric constant its capacity increases.
Reason :
Electric field intensity between the plates with dielectric in between it is reduced.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.