The voltage across the $10 \Omega$ resistor in the given circuit is $x$ volt. The value of 'x' to the nearest integer is ______

JEE Main · 2021 · 18 Mar 2021 · Shift 1 · Current Electricity

The voltage across the

10Ω

resistor in the given circuit is

x

volt.
The value of 'x' to the nearest integer is ______

Answer: 70

The

50 Ω

and the

20 Ω

resistors are joined between the same pair of nodes, so they are in parallel:

R_{p} = \frac{50 \times 20}{50 + 20} = \frac{100}{7} Ω

This combination is in series with the

10 Ω

resistor across the

170

V source, so

R = 10 + \frac{100}{7} = \frac{170}{7} Ω, I = \frac{170}{170/7} = 7 A

The whole current passes through the

10 Ω

resistor, so the voltage across it is

7 \times 10 = 70

JEE Main · 2021 · 18 Mar 2021 · Shift 1 · Integer answer