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A coil with certain number of turns has a specified time constant. If the no. of turns is doubled, its time constant would
- a)remain unaffected
- b)becomes doubled
- c)becomes four fold
- d)get halved
Correct answer is option 'B'. Can you explain this answer?
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A coil with certain number of turns has a specified time constant. If ...
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A coil with certain number of turns has a specified time constant. If ...
Explanation:
- Time constant of an inductor is given by L/R, where L is the inductance and R is the resistance of the circuit.
- Inductance of a coil is given by N^2 * μ * A/l, where N is the number of turns, μ is the permeability of the core material, A is the cross-sectional area of the core, and l is the length of the core.
- Doubling the number of turns (N) will result in a fourfold increase in inductance (L), as L is directly proportional to N^2.
- Therefore, the time constant of the circuit will also be doubled, as time constant is directly proportional to inductance (L) and inversely proportional to resistance (R).
- Time constant of an inductor is given by L/R, where L is the inductance and R is the resistance of the circuit.
- Inductance of a coil is given by N^2 * μ * A/l, where N is the number of turns, μ is the permeability of the core material, A is the cross-sectional area of the core, and l is the length of the core.
- Doubling the number of turns (N) will result in a fourfold increase in inductance (L), as L is directly proportional to N^2.
- Therefore, the time constant of the circuit will also be doubled, as time constant is directly proportional to inductance (L) and inversely proportional to resistance (R).
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Community Answer
A coil with certain number of turns has a specified time constant. If ...
L = uo ur n^2 a / l
so L = N^2
and
n= 2
than L = 2^2 = 4 times
so L = N^2
and
n= 2
than L = 2^2 = 4 times
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A coil with certain number of turns has a specified time constant. If the no. of turns is doubled, its time constant woulda)remain unaffectedb)becomes doubledc)becomes four foldd)get halvedCorrect answer is option 'B'. Can you explain this answer?
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