Three identical resistors are connected in se | vedclass

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

Question

(D) Let the resistance of each resistor be $R$ and the applied voltage be $V$.When $n$ identical resistors are connected in series,the equivalent resi

Vedclass · Accepted Answer

$90$

Vedclass · Answer

(D) Let the resistance of each resistor be $R$ and the applied voltage be $V$.When $n$ identical resistors are connected in series,the equivalent resistance is $R_s = nR$.The power consumed in series is $P_s = \frac{V^2}{R_s} = \frac{V^2}{nR} = \frac{P}{n}$,where $P$ is the power of a single resistor.Given $P_s = 10 \, W$ and $n = 3$,we have $10 = \frac{P}{3}$,so $P = 30 \, W$.When connected in parallel,the equivalent resistance is $R_p = \frac{R}{n}$.The power consumed in parallel is $P_p = \frac{V^2}{R_p} = \frac{V^2}{R/n} = n 	imes \frac{V^2}{R} = n 	imes P$.Substituting the values,$P_p = 3 	imes 30 = 90 \, W$.

Three identical resistors are connected in series,and the total power consumed is $10 \, W$. If they are connected in parallel,what will be the total power consumed in $W$?

Similar Questions

The $emf$ of a thermocouple, with one junction kept at $0^{\circ}C$, is given by the equation $e = at + bt^2$. The Peltier coefficient is given by:

In the circuit diagram shown in the figure below, the current flowing through the resistance $3\, \Omega$ is $\frac{x}{3}\, A$. The value of $x$ is $...........$

$A$ thermocouple is made from two metals,Antimony and Bismuth. If one junction of the couple is kept hot and the other is kept cold,then,an electric current will

$A$ power of $100 \ W$ is used at $125 \ V$ to produce chlorine by electrolysis. How many $mg$ of chlorine are produced per minute? (The electrochemical equivalent of chlorine is $0.367 \times 10^{-6} \ kg/C$)

The terminal voltage $V$ across a battery of $emf$ $E$ and internal resistance $r$ can be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module