Question

Two resistors of 0·4 Ω and 0·6 Ω are connected in parallel combination. Their equivalent resistance is

• A. 1 Ω
• B. 0·5 Ω
• C. 0·24 Ω
• D. 0·1 Ω

Answer 1

The Correct Option is C

Given: Two resistors in parallel, $R_1 = 0.4\, \Omega$, $R_2 = 0.6\, \Omega$

The formula for equivalent resistance $R$ in a parallel combination is:

$$\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{0.4} + \frac{1}{0.6}$$

$$\frac{1}{R} = \frac{5}{2} + \frac{5}{3} = \frac{15 + 10}{6} = \frac{25}{6} \Rightarrow R = \frac{6}{25} = 0.24\, \Omega$$

Final Answer: 0·24 Ω