An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. The ratio of inductive reactance to its resistance is __________. ( = 3 .

Question

An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. The ratio of inductive reactance to its resistance is __________. $(π = 3.14)$ [2026]

Smart Achievers · Accepted Answer

(314)

$\frac{1}{2} L i_{rms}^{2} = 16 \Rightarrow L = 8$

$i^{2} R = 32 \Rightarrow R = 8$

$X_{L} = ω L = 2 \times 3.14 \times 50 \times 8$

$= 800 \times 3.14$

$R = 8$

$\frac{X_{L}}{R} = 314$

Solution

Q.
An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. The ratio of inductive reactance to its resistance is __________. $(π = 3.14)$ [2026]

Ans.
(314)

$\frac{1}{2} L i_{rms}^{2} = 16 \Rightarrow L = 8$

$i^{2} R = 32 \Rightarrow R = 8$

$X_{L} = ω L = 2 \times 3.14 \times 50 \times 8$

$= 800 \times 3.14$

$R = 8$

$\frac{X_{L}}{R} = 314$

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Solution

Q. An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. The ratio of inductive reactance to its resistance is __________. (π=3.14) [2026]

Ans. (314) 12Lirms2=16 ⇒ L=8 i2R=32 ⇒ R=8 XL=ωL=2×3.14×50×8 =800×3.14 R=8 XLR=314

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Q.
An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. The ratio of inductive reactance to its resistance is __________. $(π = 3.14)$ [2026]

Ans.
(314)

$\frac{1}{2} L i_{rms}^{2} = 16 \Rightarrow L = 8$

$i^{2} R = 32 \Rightarrow R = 8$

$X_{L} = ω L = 2 \times 3.14 \times 50 \times 8$

$= 800 \times 3.14$

$R = 8$

$\frac{X_{L}}{R} = 314$