A student is working on a project as they
require to analyze and compose a circuit in which a coil having
inductance of 0.03H and resistance of 6Ω connected across 200V,
50Hz supply.
(i) Evaluate inductive reactance of the circuit.
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Given: A circuit in which a coil having inductance of 0.03H and resistance of 6Ω connected across 200V, 50Hz supply.
To find: The inductive reactance of the circuit.
Solution:
- Inductive reactance of a coil represents the effective opposition of the coil to the flow of the alternating current.
- It is given by the formula,
- Here,
is the inductive reactance, f is the frequency of the current and L is the inductance of the circuit.
- On replacing the terms with the values given in the question, the obtained equation is,
Therefore, the inductive reactance of the circuit is 9.43 Ω.
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