A man has some identical resistors,each with | vedclass

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

Question

(C) Let $n$ be the total number of resistors used in the circuit.Let the equivalent resistance of the combination be $R_{eq} = 5 \, \Omega$ and the to

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(C) Let $n$ be the total number of resistors used in the circuit.Let the equivalent resistance of the combination be $R_{eq} = 5 \, \Omega$ and the total current be $I_{total} = 4 \, 	ext{A}$.Each resistor has $R = 10 \, \Omega$ and $I_{max} = 1 \, 	ext{A}$.The power dissipated by the equivalent circuit is $P_{eq} = I_{total}^2 	imes R_{eq} = (4)^2 	imes 5 = 16 	imes 5 = 80 \, 	ext{W}$.The power capacity of each individual resistor is $P_{res} = I_{max}^2 	imes R = (1)^2 	imes 10 = 10 \, 	ext{W}$.Since the total power must be supplied by the $n$ resistors,we have $P_{eq} = n 	imes P_{res}$.$80 = n 	imes 10$.Therefore,$n = 8$.

Similar Questions

The current $I$ in the network shown in the figure is .......... $A$.

Three resistances of equal values are arranged in four different configurations as shown below. Power dissipation in the increasing order is

In the given figure,switches $S_{1}$ and $S_{2}$ are initially open. What is the equivalent resistance across $a b$ when the switches $S_{1}$ and $S_{2}$ are closed? (in $\Omega$)

If the power dissipated in the circuit is $150\,W,$ then the value of $R$ is ............... $\Omega$.

$A$ piece of wire is cut into four equal parts and the pieces are bundled together side by side to form a thicker wire. Compared with that of the original wire,the resistance of the bundle is ..........

Vedclass Test Series

Exam Paper Generator

Online Exam Module