In the circuit shown,the thermal power dissip | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The current $i$ flows through $R_1 = R$. The power dissipated in $R_1$ is $P = i^2 R$.In the parallel combination of $R_2 = R$ and $R_3 = 2R$,the

Vedclass · Accepted Answer

$\frac{4 P}{9}$

Vedclass · Answer

(B) The current $i$ flows through $R_1 = R$. The power dissipated in $R_1$ is $P = i^2 R$.In the parallel combination of $R_2 = R$ and $R_3 = 2R$,the current $i$ divides. Let $i_2$ be the current through $R_2$ and $i_3$ be the current through $R_3$.By the current divider rule,$i_2 = i 	imes \frac{R_3}{R_2 + R_3} = i 	imes \frac{2R}{R + 2R} = i 	imes \frac{2R}{3R} = \frac{2}{3}i$.The thermal power dissipated in $R_2$ is $P_2 = i_2^2 R_2 = (\frac{2}{3}i)^2 R = \frac{4}{9} i^2 R$.Since $P = i^2 R$,we have $P_2 = \frac{4}{9} P$.

In the circuit shown,the thermal power dissipated in $R_1$ is $P$. The thermal power dissipated in $R_2$ is

Similar Questions

In the given circuit,find the current in each resistance. (in $A$)

In the given figure,each plate of the capacitor with capacitance $C$ has a charge. Find the charge on the capacitor.

In the given circuit diagram,the current through the battery and the charge on the capacitor,respectively,in the steady state are:

In the figure shown,battery $1$ has $emf = 6\, V$ and internal resistance $= 1\, \Omega$. Battery $2$ has $emf = 2\, V$ and internal resistance $= 3\, \Omega$. The wires have negligible resistance. What is the potential difference across the terminals of battery $2$ (in $, V$)?

When two ends of a conductor are at different temperatures,the electromotive force generated between the two ends is known as:

Vedclass Test Series

Exam Paper Generator

Online Exam Module