When a coil is connected to a 100 v dc supply - the current is 2A- When the same coil is connected to a-c- source E-100 -2 sin- t the current is 1 A- Find the inductive reactive used in the circuit-

In DC circuit I=VR⇒ So, R=VI=50 Ω In AC l_ms=V_msZ⇒1=100z=100 Ω Now Z=√(R^2+X^2_L)⇒ X_L=50√(3)Ω ...

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Standard XII

Physics

Impedance in RLC Circuit

When a coil i...

Question

When a coil is connected to a 100 v dc supply , the current is 2A. When the same coil is connected to a.c. source $E = 100 \sqrt{2} s i n ω t$ the current is 1 A. Find the inductive reactive used in the circuit.

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Solution

In DC circuit $I = \frac{V}{R} \Rightarrow S o, R = \frac{V}{I} = 50 Ω$
In $A C l_{m s} = \frac{V_{m s}}{Z} \Rightarrow 1 = \frac{100}{z} = 100 Ω$
Now $Z = \sqrt{R^{2} + X_{L}^{2}} \Rightarrow X_{L} = 50 \sqrt{3} Ω$

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When a coil is connected to a 100 v dc supply , the current is 2A. When the same coil is connected to a.c. source E=100√2sinωt the current is 1 A. Find the inductive reactive used in the circuit.

In DC circuit I=VR⇒So,R=VI=50ΩIn AClms=VmsZ⇒1=100z=100ΩNow Z=√R2+X2L⇒XL=50√3Ω

When a coil is connected to a 100 v dc supply , the current is 2A. When the same coil is connected to a.c. source $E = 100 \sqrt{2} s i n ω t$ the current is 1 A. Find the inductive reactive used in the circuit.

In DC circuit $I = \frac{V}{R} \Rightarrow S o, R = \frac{V}{I} = 50 Ω$
In $A C l_{m s} = \frac{V_{m s}}{Z} \Rightarrow 1 = \frac{100}{z} = 100 Ω$
Now $Z = \sqrt{R^{2} + X_{L}^{2}} \Rightarrow X_{L} = 50 \sqrt{3} Ω$