TS EAMCET · Physics · Magnetic Effects of Current
A long solenoid with 10.0 turn/cm and a radius of 8 cm carries a current of 7 mA. A current carrying straight conductor is located along the central axis of the solenoid. If the direction of resulting magnetic field is \(60^{\circ}\) to axial direction at a point \(5 \mathrm{~cm}\) from the axis of the solenoid along the radial direction, then the current in the conductor is [Take \(\sqrt{2}=1.4, \sqrt{3}=1.7\) ]
- A \(3.41 \mathrm{~A}\)
- B \(4.21 \mathrm{~A}\)
- C \(3.74 \mathrm{~A}\)
- D \(4.5 \mathrm{~A}\)
Answer & Solution
Correct Answer
(C) \(3.74 \mathrm{~A}\)
Step-by-step Solution
Detailed explanation
\(B_s = \mu_0 n I_s = (4\pi \times 10^{-7}) (1000) (7 \times 10^{-3}) = 28\pi \times 10^{-7} \text{ T}\) \(\tan 60^{\circ} = \frac{B_c}{B_s} \implies B_c = B_s \tan 60^{\circ} = B_s \sqrt{3}\)…
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