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The equivalent inductance of two inductors is 2.4 H when they are connected in parallel and 10 H when they are connected in series. The individual inductances are .........

Asked in RS Academy GUJCET booklet · Coil geometry, cores and combinations

• (1) 6 H, 4 H
• (2) 5 H, 5 H
• (3) 7 H, 3 H
• (4) 8 H, 2 H

Step-by-step solution

Why the other options are wrong

• (2) Satisfies only the series condition, 5+5=10. In parallel two 5 H coils give (5×5)/(10)=2.5 H, not 2.4 H.
• (3) Satisfies only the series condition, 7+3=10. In parallel they give (7×3)/(10)=2.1 H, not 2.4 H.
• (4) Satisfies only the series condition, 8+2=10. In parallel they give (8×2)/(10)=1.6 H, not 2.4 H.

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