Question

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

Answer 1

Answer:x=15

I = 0.3

Explanation:

Answer 2

The resistance of a resistor X is 15 Ω

The current flowing through the circuit is 0.3 A

Explanation:

The image given in the question is attached below.

From image, we can understand that two resistors in series are parallel to each other.

Resistance:

On applying parallel resistors formula, we get,

$\frac{1}{20}=\frac{1}{(10+x)}+\frac{1}{(25+75)}$

$\frac{1}{10+x}=\frac{1}{20}-\frac{1}{100}$

$\frac{1}{10+x}=\frac{5-1}{100}$

$\frac{1}{10+x}=\frac{4}{100}$

$\frac{1}{10+x}=\frac{1}{25}$

$10+x=25$

$x=15 \ \Omega$

Current:

Given:

Potential difference = 6 V (from diagram)

Resistance = 20 Ω

Solution:

To find current passing through the circuit, the below formula is need to be used.

Voltage = Current × Resistance

On substituting the given values, we get,

6 =  Current × 20

Current = 6/20

Therefore, current = 0.3 A