Question

If the total resistance of the given circuit is 20ohm then calculate the resistance of a resistor X and current flowing through the circuit??​

Answer 1

Answer:

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ur ans. is 15...☺️

Answer 2

The resistance of a resistor X is $x=15\ \Omega.$

Equivalent resistance of lower half , $R_1=25\ \Omega+75\ \Omega=100\ \Omega.$

Also, equivalent resistance of upper half, $R_2=10 \ \Omega + x\ \Omega=(10+x)\ \Omega$

Now, $R_1 \ and \ R_2$ are in parallel.

Therefore, $\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\\\\\dfrac{1}{R_{eq}}=\dfrac{1}{100}+\dfrac{1}{10+x}\\\\R_{eq}=\dfrac{100(10+x)}{110+x}$    ...equation 1.

Also, equivalent resistance $=20\ \Omega.$

Putting value of $R_{eq}=20\ \Omega$   in equation 1 .

We get,

$x=15\ \Omega.$

Hence, this is the required solution.

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Equivalent Resistance.

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