The power dissipated in the circuit shown in | vedclass

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

Question

(A) The equivalent resistance $R_{eq}$ of the two resistors $R$ and $5 \, \Omega$ connected in parallel is given by:$R_{eq} = \frac{R 	imes 5}{R + 5}

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(A) The equivalent resistance $R_{eq}$ of the two resistors $R$ and $5 \, \Omega$ connected in parallel is given by:$R_{eq} = \frac{R 	imes 5}{R + 5}$The power dissipated in the circuit is given by the formula:$P = \frac{V^2}{R_{eq}}$Given $P = 30 \, W$ and $V = 10 \, V$,we substitute these values into the formula:$30 = \frac{10^2}{\left(\frac{5R}{R + 5}ight)}$$30 = \frac{100(R + 5)}{5R}$$30 = \frac{20(R + 5)}{R}$$30R = 20R + 100$$10R = 100$$R = 10 \, \Omega$

The power dissipated in the circuit shown in the figure is $30 \, W$. The value of $R$ is ............. $\Omega$.

Similar Questions

Given three equal resistors,how many different combinations of all the three resistors can be made?

Two bulbs are connected in parallel. Bulb $A$ is brighter than bulb $B$. If $R_A$ and $R_B$ are their resistances respectively,then:

Resistors $R, 2R, 4R, 8R, ..... \infty$ are connected in parallel. What is their equivalent resistance?

For the mixed connection shown in the figure,derive the equation for the equivalent resistance.

In a series connection of resistors,is the current equal or the voltage? And in a parallel connection of resistors,is the current equal or the voltage?

Vedclass Test Series

Exam Paper Generator

Online Exam Module