Physics Q13 – NEET-UG 2023

The magnetic energy stored in an inductor of inductance

4 μ H

carrying a current of

2 A

is :

Clue 1 of 3: Energy Storage in Inductors

Inductors store energy in their magnetic fields when a current flows through them.

🥷

Ninja Strategy•Formula Application and Unit Awareness

Correctly apply the energy formula $U = \frac{1}{2} L I^{2}$ and pay close attention to the micro- ( $10^{- 6}$ ) prefix in the inductance and the expected energy unit.

🧠 Full Solution Path

Step 1: Identify the Formula for Energy in an Inductor✦ Active

The magnetic energy ( $U$ ) stored in an inductor with inductance $L$ carrying a current $I$ is given by the formula:

U = \frac{1}{2} L I^{2}

Step 2: Convert Units and Substitute Values○ Expand

Given inductance $L = 4 μ H$ . Convert it to Henrys: $L = 4 \times 10^{- 6} H$ . Given current $I = 2 A$ . Substitute these values into the formula:

U = \frac{1}{2} \times (4 \times 10^{- 6} H) \times (2 A)^{2}

💡 Teacher's Secret Hint

Remember to convert microhenrys to henrys before calculation.

Step 3: Calculate the Energy○ Expand

Perform the calculation:

U = \frac{1}{2} \times 4 \times 10^{- 6} \times 4

\Rightarrow U = 8 \times 10^{- 6} J

\Rightarrow U = 8 μ J

This matches option (4).

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Physics Question 13 – NEET-UG 2023

Clue 1 of 3: Energy Storage in Inductors

🧠 Full Solution Path