The graph shows the variation of voltage V across the plates of two capacitors A and B versus increase of charge Q stored in them. Which of the capacitors has higher capacitance?

Question

The graph shows the variation of voltage V across the plates of two capacitors A and B versus increase of charge Q stored in them. Which of the capacitors has higher capacitance? (A) Capacitor A (B) Capacitor B (C) Both (a) and (b) (D) None of these

Tardigrade Admin · Accepted Answer

From the given graphs, find the voltages,

V_{A}

and

V_{B}

, on capacitors

A

and

B

corresponding to charge

Q

on each of the capacitors. Clearly,

V_{A} = \frac{Q}{C _{A}} and V_{B} = \frac{Q}{C _{B}}

or

\frac{V _{B}}{V _{A}} = \frac{Q / C _{B}}{Q / C _{A}} = \frac{C _{A}}{C _{B}}

Since,

V_{B} > V_{A}, C_{A} > C_{B}

i.e., the capacitor

A

has the higher capacitance.

Q. The graph shows the variation of voltage $V$ across the plates of two capacitors $A$ and $B$ versus increase of charge $Q$ stored in them. Which of the capacitors has higher capacitance?

Capacitor $A$

Capacitor $B$

Both (a) and (b)

None of these

Q. The graph shows the variation of voltage V across the plates of two capacitors A and B versus increase of charge Q stored in them. Which of the capacitors has higher capacitance?

Capacitor A

Capacitor B

Both (a) and (b)

None of these

Q. The graph shows the variation of voltage $V$ across the plates of two capacitors $A$ and $B$ versus increase of charge $Q$ stored in them. Which of the capacitors has higher capacitance?

Capacitor $A$

Capacitor $B$