In the circuit shown in the figure,the power | vedclass

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

Question

(D) The power dissipated in the $6\,\Omega$ resistor is given by $P = I^2 R_{6}$.Given $P = 6\,W$ and $R_{6} = 6\,\Omega$,the current $I$ flowing thro

Vedclass · Accepted Answer

$24$

Vedclass · Answer

(D) The power dissipated in the $6\,\Omega$ resistor is given by $P = I^2 R_{6}$.Given $P = 6\,W$ and $R_{6} = 6\,\Omega$,the current $I$ flowing through the $6\,\Omega$ resistor is:$I = \sqrt{\frac{P}{R_{6}}} = \sqrt{\frac{6}{6}} = 1\,A$.This current $I$ is the total current flowing from the $12\,V$ battery.The equivalent resistance of the parallel combination of $R$ and $8\,\Omega$ is $R_{p} = \frac{8R}{8+R}$.The total resistance of the circuit is $R_{eq} = 6 + \frac{8R}{8+R}$.Using Ohm's law,$I = \frac{V}{R_{eq}}$,we have:$1 = \frac{12}{6 + \frac{8R}{8+R}}$.$6 + \frac{8R}{8+R} = 12$.$\frac{8R}{8+R} = 6$.$8R = 6(8+R) = 48 + 6R$.$2R = 48$.$R = 24\,\Omega$.

In the circuit shown in the figure,the power dissipated as heat in the $6\,\Omega$ resistor is $6\,W$. What is the value of resistance $R$ in the circuit? ................ $\Omega$

Similar Questions

$A$ resistor ${R_1}$ dissipates the power $P$ when connected to a certain generator. If the resistor ${R_2}$ is put in series with ${R_1}$,the power dissipated by ${R_1}$

Identical resistors of resistance $R$ are connected as shown in the figure. Find the equivalent resistance between $x$ and $y$.

Find the $emf$ $(E)$ of the cell in $V$ required to light the bulb rated $4.5 \, W, 1.5 \, V$ fully,as shown in the circuit.

Two bulbs,as in the previous context ($40\, W$ and $100\, W$ bulbs rated at the same voltage),are connected in series to a $200\, V$ line. Then:

Two long coaxial and conducting cylinders of radius $a$ and $b$ are separated by a material of conductivity $\sigma$ and a constant potential difference $V$ is maintained between them by a battery. Then the current per unit length of the cylinder flowing from one cylinder to the other is -

Vedclass Test Series

Exam Paper Generator

Online Exam Module