In the given circuit,find the maximum power c | vedclass

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

Question

(A) To find the maximum power consumed by the variable load resistance $R_L$,we use the Thevenin equivalent circuit theorem.First,we find the Thevenin

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(A) To find the maximum power consumed by the variable load resistance $R_L$,we use the Thevenin equivalent circuit theorem.First,we find the Thevenin voltage $V_{th}$ across the terminals where $R_L$ is connected. By removing $R_L$,the circuit becomes a voltage divider with $60 \ V$ source,$3 \ \Omega$ resistor,and $6 \ \Omega$ resistor.$V_{th} = 60 	imes \frac{6}{3+6} = 60 	imes \frac{6}{9} = 40 \ V$.Next,we find the Thevenin resistance $R_{th}$ by short-circuiting the $60 \ V$ source. The $3 \ \Omega$ and $6 \ \Omega$ resistors are in parallel,and this combination is in series with the $2 \ \Omega$ resistor.$R_{th} = (3 \parallel 6) + 2 = \frac{3 	imes 6}{3+6} + 2 = 2 + 2 = 4 \ \Omega$.For maximum power transfer,$R_L = R_{th} = 4 \ \Omega$.The maximum power is given by $P_{max} = \frac{V_{th}^2}{4R_{th}} = \frac{40^2}{4 	imes 4} = \frac{1600}{16} = 100 \ W$.

In the given circuit,find the maximum power consumed by the variable load resistance $R_L$.

Similar Questions

Two resistors of $200\ k\Omega$ and $1\ M\Omega$ form a potential divider circuit. If the potentials at the two ends are $+3\ V$ and $-15\ V$,the voltage at the junction will be ............... $V$.

$A$ $5\, V$ battery with internal resistance $2\, \Omega$ and a $2\, V$ battery with internal resistance $1\, \Omega$ are connected to a $10\, \Omega$ resistor as shown in the figure. The current in the $10\, \Omega$ resistor is:

In the following circuit,the current through the resistor $R(=2 \Omega)$ is $I$ Amperes. The value of $I$ is

The internal resistances of two cells shown in the figure are $0.1\,\Omega$ and $0.3\,\Omega$. If $R = 0.2\,\Omega$,find the potential difference across the cells.

Vedclass Test Series

Exam Paper Generator

Online Exam Module