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The inductance of a coil is L = 10 H and resistance R = 5 Ω . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.
- a)2 x 104 V
- b)1.2 x 104 V
- c)2 x 10-4 V
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The inductance of a coil is L = 10 H and resistance R = 5 . If applie...
Given data:
- Inductance, L = 10 H
- Resistance, R = 5 Ω
- Applied voltage, V = 10 V
- Time taken to switch off, t = 1 ms = 0.001 s
Formula:
The induced emf in an inductor is given by the formula:
\[E = -L\frac{di}{dt}\]
Calculations:
- The current flowing through the circuit can be found using Ohm's law:
\[V = IR\]
\[I = \frac{V}{R} = \frac{10}{5} = 2 A\]
- The rate of change of current can be found by dividing the final current by the time taken to switch off:
\[\frac{di}{dt} = \frac{2}{0.001} = 2000 A/s\]
- Now, substituting the values in the formula for induced emf:
\[E = -10 \times 2000 = -20000 V = 2 \times 10^4 V\]
Therefore, the induced emf of the inductor is 2 x 10^4 V, which is option 'A'.
- Inductance, L = 10 H
- Resistance, R = 5 Ω
- Applied voltage, V = 10 V
- Time taken to switch off, t = 1 ms = 0.001 s
Formula:
The induced emf in an inductor is given by the formula:
\[E = -L\frac{di}{dt}\]
Calculations:
- The current flowing through the circuit can be found using Ohm's law:
\[V = IR\]
\[I = \frac{V}{R} = \frac{10}{5} = 2 A\]
- The rate of change of current can be found by dividing the final current by the time taken to switch off:
\[\frac{di}{dt} = \frac{2}{0.001} = 2000 A/s\]
- Now, substituting the values in the formula for induced emf:
\[E = -10 \times 2000 = -20000 V = 2 \times 10^4 V\]
Therefore, the induced emf of the inductor is 2 x 10^4 V, which is option 'A'.
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The inductance of a coil is L = 10 H and resistance R = 5 . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.a)2 x104 Vb)1.2 x104 Vc)2 x10-4 Vd)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The inductance of a coil is L = 10 H and resistance R = 5 . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.a)2 x104 Vb)1.2 x104 Vc)2 x10-4 Vd)None of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The inductance of a coil is L = 10 H and resistance R = 5 . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.a)2 x104 Vb)1.2 x104 Vc)2 x10-4 Vd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The inductance of a coil is L = 10 H and resistance R = 5 . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.a)2 x104 Vb)1.2 x104 Vc)2 x10-4 Vd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
The inductance of a coil is L = 10 H and resistance R = 5 . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.a)2 x104 Vb)1.2 x104 Vc)2 x10-4 Vd)None of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The inductance of a coil is L = 10 H and resistance R = 5 . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.a)2 x104 Vb)1.2 x104 Vc)2 x10-4 Vd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The inductance of a coil is L = 10 H and resistance R = 5 . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.a)2 x104 Vb)1.2 x104 Vc)2 x10-4 Vd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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