TS EAMCET · Physics · Electromagnetic Induction
The time constant of inductance coil is \(3 \mathrm{~m} \mathrm{~s}\). When a \(90 \Omega\) resistance is joined in series, then the time constant becomes \(0.5 \mathrm{~m} \mathrm{~s}\). The inductance and the resistance of the coil are
- A \(54 \mathrm{mH}, 18 \Omega\)
- B \(14 \mathrm{mH}, 42 \Omega\)
- C \(42 \mathrm{mH}, 14 \Omega\)
- D \(14 \mathrm{mH}, 60 \Omega\)
Answer & Solution
Correct Answer
(A) \(54 \mathrm{mH}, 18 \Omega\)
Step-by-step Solution
Detailed explanation
Time constant \(t=\frac{L}{R}\) \(3=\frac{L}{R}\) ...(i) When a \(90 \Omega\) resistance is joined in series the time constant becomes \(0.5 \mathrm{~m} \mathrm{~s}\). So, \(0.5=\frac{L}{R+90}\) ...(ii) From Eqs. (i) and (ii)…
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