Question:
The self inductance of two coils are 9 mH and 25 mH. If the coefficient of coupling is 0.5, the mutual inductance of coils is:
The self inductance of two coils are 9 mH and 25 mH. If the coefficient of coupling is 0.5, the mutual inductance of coils is:
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Mutual inductance: M = k \(\times\) \(\sqrt{L_1 L_2}\).
k is the coefficient of coupling.
k is the coefficient of coupling.
Updated On: Aug 18, 2026
- 12.5 mH
- 10.0 mH
- 7.5 mH
- 5.0 mH
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept:
Mutual inductance depends on self inductances and coupling coefficient.
The formula relates these quantities.
Step 2: Key Formula or Approach:
M = k \(\times\) \(\sqrt{L_1 \times L_2}\).
Step 3: Detailed Explanation:
L\(_1\) = 9 mH, L\(_2\) = 25 mH, k = 0.5.
M = 0.5 \(\times\) \(\sqrt{9 \times 25}\) = 0.5 \(\times\) \(\sqrt{225}\) = 0.5 \(\times\) 15 = 7.5 mH.
Thus, the mutual inductance is 7.5 mH.
Step 4: Final Answer:
The mutual inductance is 7.5 mH.
Hence, the correct option is (C).
Mutual inductance depends on self inductances and coupling coefficient.
The formula relates these quantities.
Step 2: Key Formula or Approach:
M = k \(\times\) \(\sqrt{L_1 \times L_2}\).
Step 3: Detailed Explanation:
L\(_1\) = 9 mH, L\(_2\) = 25 mH, k = 0.5.
M = 0.5 \(\times\) \(\sqrt{9 \times 25}\) = 0.5 \(\times\) \(\sqrt{225}\) = 0.5 \(\times\) 15 = 7.5 mH.
Thus, the mutual inductance is 7.5 mH.
Step 4: Final Answer:
The mutual inductance is 7.5 mH.
Hence, the correct option is (C).
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