Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Induction

Question:

The combination of the same two inductors (33 mH and 55 mH) connected in parallel without mutual inductance will have what value?

Options:

88 mH

22 mH

1.8 H

21 mH

Correct Answer:

21 mH

Explanation:

The correct answer is Option 4: 21 mH

For inductors connected in parallel (without mutual inductance) :

$\frac{1}{L_{eq}} = \frac{1}{L_1} + \frac{1}{L_2}$ or  $L_{eq} = \frac{L_1 \times L_2}{L_1 + L_2}$
 

Given:

  • $L_1 = 33\text{ mH}$

  • $L_2 = 55\text{ mH}$

$L_{eq} = \frac{33 \times 55}{33 + 55}$
 
$L_{eq} = \frac{1815}{88}$
 
$L_{eq} \approx 20.625\text{ mH}$
 
Rounding to the nearest whole number gives 21 mH.