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Q.

A long solenoid with 10 turns per centimeter and a radius of 7 cm located in vacuum carries a current of 20 mA. A straight conductor positioned along the axis of the solenoid carries a current of 6A. At what distance (in cm) from the axis of the solenoid does the vector of the total magnetic field form an angle of 45º with the axis of the straight conductor.

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answer is 4.77.

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Detailed Solution

Magnetic field due to solenoid is $μ_{0} n I$
Magnetic field due to long conductor is $\frac{μ_{0} I}{2 R}$

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