Question

Charge on a capacitor is doubled its capacity becomes k times where

Answer 1

Dear Student,

◆ Answer -

k = 1

● Explanation -

Capacity of the capacitor is related to charge by relationship -

Q = CV

Capacitor is the constant for the material and thus will not change upon increasing the charge. So value of k is 1.

But voltage is directly proportional to charge. When charge is doubled, voltage also gets doubled.

Thanks dear. Hope this helps you..

Answer 2

Complete question:

Charge on a capacitor is doubled its capacity becomes k times where k = ?

Answer:

The value of k is 1

Explanation:

The capacitance depends on the permittivity and physical dimension of a medium.

The capacitance is given by the formula:

Q = CV

Where, Q = Charge; C = Capacitance; V = Voltage

V = Q/C

Thus, when the charge of the capacitor is doubled, then the potential of the capacitor increases where capacitance remains unchanged.

Now, the capacitance with permittivity is given by the formula:

C = (ε₀A)/d

Where, ε₀ = Permittivity of free space; A = Area of place; d = Distance between plates

k = Relative permittivity of material between the plates

∵ k = 1 ⇒ For free air