Question

A Circuit contains two identical resistors of resistance $R$ and a capacitor of capacitance $C1$ connected to a battery that provides an emf of $V$, as shown above. At time zero, the Capacitor is initially uncharged.
Which of the following expressions would represent the power dissipated in resistor $R_2$ at time zero?

• A. $0$
• B. $\frac{1}{{}_{e}RC}$
• C. $\frac{V^2}{R}$
• D. $\frac{V^2}{2R}$
• E. $\frac{V^2}{4R}$

Answer 1

The correct option is D $\frac{V^2}{2R}$

At time zero charge in capacitors is zero , $q=0$ , and total current flows through $R_1$ and $R_2$ ,

total maximum current in the circuit , $I_o=V(/R+R)=V/2R$ ,

therefore power dissipation in $R_2$ ,

$P=I_O^{2}R=(V/2R{)}^{2}R=V^2/2R$