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Chapter 7

Q. 7.2

Two long parallel wires are at a distance of 15 cm as shown in Fig. 7.4. If I_{1} = 50 A, what should be the value and direction of the current I_{2} such that the magnetic field intensity at point P is zero?

7.4

Step-by-Step

Verified Solution

At point P

H_{1} (I_{1}) = \frac{50}{2π  (15 + 10)  ×  10^{-2} } A/m

H_{2} (I_{2}) = \frac{I_{2}}{2π  ×  10  ×  10^{-2} } A/m

For net H at P to be zero

H_{1}  +  H_{2} = 0       or      H_{2}  =  -H_{1}

or               \frac{I_{2}}{2π  ×  10  ×  10^{-2} } = \frac{50}{2π  ×  10  ×  10^{-2}}

or

I_{2} = – 50 × \frac{10}{25} = –20 A (in opposite direction to I_{1})