In a spherical condenser radius of the outer sphere is R. The difference in the radii of the outer and inner sphere is x. Its capacity is proportional to

(1) xR(Rx)

(2) x(Rx)r

(3) R(Rx)x

(4) Rx

Subtopic:  Capacitance |
 59%
From NCERT
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A capacitor, when filled with a dielectric K = 3, has charge Q0, voltage V0 and field E0. If the dielectric is replaced with another one having K = 9 the new values of charge, voltage and field will be respectively, when the capacitor is not connected with a battery -

(1) 3Q0,3V0,3E0

(2) Q0,3V0,3E0

(3) Q0,V03,3E0

(4) Q0,V03,E03

Subtopic:  Dielectrics in Capacitors |
 75%
From NCERT
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A parallel plate condenser with oil between the plates (dielectric constant of oil K = 2) has a capacitance C. If the oil is removed, then capacitance of the capacitor becomes 

(1) 2C

(2) 2C

(3) C2

(4) C2

Subtopic:  Dielectrics in Capacitors |
 81%
From NCERT
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Two identical charged spherical drops each of capacitance C merge to form a single drop. The resultant capacitance is -

(1) Equal to 2C

(2) Greater than 2C

(3) Less than 2C but greater than C

(4) Less than C

Subtopic:  Capacitance |
 63%
From NCERT
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A 12pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor ?

(1) 1.5 × 10–8 Joule

(2) 2.5 × 10–7 Joule

(3) 3.5 × 10–5 Joule

(4) 4.5 × 10–2 Joule

Subtopic:  Energy stored in Capacitor |
 89%
From NCERT
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The capacity of a parallel plate condenser is 15 μF, when the distance between its plates is 6 cm. If the distance between the plates is reduced to 2 cm, then the capacity of this parallel plate condenser will be?

(1) 15 μF

(2) 30 μF

(3) 45 μF

(4) 60 μF

Subtopic:  Capacitance |
 85%
From NCERT
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The capacity of a parallel plate capacitor with no dielectric substance but with a separation of 0.4 cm is 2 μF. The separation is reduced to half and it is filled with a dielectric substance of value 2.8. The final capacity of the capacitor is 

(1) 11.2 μF

(2) 15.6 μF

(3) 19.2 μF

(4) 22.4 μF

Subtopic:  Dielectrics in Capacitors |
 80%
From NCERT
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Two insulated metallic spheres of 3 μF and 5 μF capacitances are charged to 300 V and 500V respectively. The energy loss, when they are connected by a wire is 

(1) 0.012 J

(2) 0.0218 J

(3) 0.0375 J

(4) 3.75 J

Subtopic:  Energy stored in Capacitor |
 71%
From NCERT
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A charge of 40 μC is given to a capacitor having capacitance C = 10 μF. The stored energy in ergs is 

(1) 80 × 10–6

(2) 800

(3) 80

(4) 8000

Subtopic:  Energy stored in Capacitor |
 52%
From NCERT
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A parallel plate capacitor has plate area A and separation d. It is charged to a potential difference V0. The charging battery is disconnected and the plates are pulled apart to three times the initial separation. The work required to separate the plates is 

(1) 3ε0AV02d

(2) ε0AV022d

(3) ε0AV023d

(4) ε0AV02d

Subtopic:  Energy stored in Capacitor |
From NCERT
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