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Question

Physics Question on Capacitors and Capacitance

The numerical value of charge on either plate of capacitor C shown in figure

A

CECE

B

CER1R1+γ\frac{C E R_{1}}{-R_{1}+\gamma_{-}}

C

CER2R2+r\frac{C E R_{2}}{R_{2}+r}

D

CER1R2+q\frac{C E R_{1}}{R_{2}+q_{-}}

Answer

CER1R1+γ\frac{C E R_{1}}{-R_{1}+\gamma_{-}}

Explanation

Solution

Rtotal =R1+rR_{\text {total }}=R_{1}+r
(Since capacitor is a DC blocking element)
V=iR1V=ER1R1+r(i=ER1+r)V=i R_{1} V=\frac{E R_{1}}{R_{1}+r}\left(\because i=\frac{E}{R_{1}+r}\right)
Since, q=CVq=C V
q=CER1R1+r\Rightarrow q=\frac{C E R_{1}}{R_{1}+r}