First slide

Magnetic field due to a straight current carrying wire

Question

A, B and C are three infinite current carrying wires carrying 2A, 3A and I as shown in figure. P is a point midway between wires B and C. For what value of P magnetic induction at P will be zero.

Moderate

A

4.24 A
B

1.8 A
C

2.4 A
D

3.66 A

Solution

$\begin{array}{l} B_{p} = \frac{μ_{o} \times 2}{2 π (d + \frac{d}{2})} + \frac{μ_{o} \times 3}{2 π (d / 2)} - \frac{μ_{o} I}{2 π (d / 2)} = 0 \\ \Rightarrow I = 3 .66 A \end{array}$

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