Electricity — Question 10

Given,

I = 5 A

V = 220 V

Let number of resistors be n

Resistance of each resistor = 176 Ω

$\dfrac{1}{\text{R}_{eq}} = \dfrac{1}{176} + \dfrac{1}{176} + ....n \\[1em] \dfrac{1}{\text{R}_{eq}} = \dfrac{\text{n}}{176} \Omega \\[1em] \Rightarrow \text{R}_{eq} = \dfrac{176}{\text{n}} \Omega$

Applying Ohm's Law:

V = IR

220 = 5 x $\dfrac{176}{\text{n}}$

n = $\dfrac{176 \times 5}{220}$ = 4 resistors

Hence, 4 resistors are connected in parallel.