MHT CET · Physics · Magnetic Effects of Current
Two current carrying identical coils are kept as shown in figure. The magnetic field at centre ' \(O\) ' is ( \(N\) and \(R\) represent the number of turns and radius of each coil respectively, \(\mu_0=\) permeability of free space)
- A \(\frac{\mu_0 \mathrm{NI}}{2 \mathrm{R}}\)
- B \(\frac{\mu_0 \mathrm{NI}}{\sqrt{2} \mathrm{R}}\)
- C \(\frac{\mu_0 \mathrm{NI}}{2 \sqrt{2} \mathrm{R}}\)
- D \(\frac{\mu_0 \mathrm{NI}}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{\mu_0 \mathrm{NI}}{\sqrt{2} \mathrm{R}}\)
Step-by-step Solution
Detailed explanation
Magnetic field due to one coil: \(B_c = \frac{\mu_0 NI}{2R}\) Total magnetic field: \(B_{total} = \sqrt{B_c^2 + B_c^2} = B_c \sqrt{2}\)
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