Question

The magnetic field midway between two parallel current carrying wires , carrying current I and 2I is B . If the current in the wire with current I is switch off , the magnetic field will become (1) B/3 (2) 2B (3)B/2 (4) B/4

Answer 1

Answer on Question #75076 Physics / Electromagnetism

The magnetic field midway between two parallel current carrying wires, carrying current I and 2I is B. If the current in the wire with current I is switch off, the magnetic field will become (1) B/3 (2) 2B (3)B/2 (4) B/4.

Solution:

At the initial state, magnetic field midway between two parallel current

$$B = \frac {2 \mu_ {0} I}{2 \pi d / 2} - \frac {\mu_ {0} I}{2 \pi d / 2} = \frac {\mu_ {0} I}{2 \pi d / 2}$$

If the current in the wire with current I is switch off, the magnetic field will be

$$B ^ {\prime} = \frac {2 \mu_ {0} I}{2 \pi d / 2} = 2 B$$

Answer: (2) 2B

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