Chapter 16: Problem 10
A choke coil has (A) high inductance and high resistance. (B) low inductance and low resistance. (C) high inductance and low resistance. (D) low inductance and high resistance.
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Chapter 16: Problem 10
A choke coil has (A) high inductance and high resistance. (B) low inductance and low resistance. (C) high inductance and low resistance. (D) low inductance and high resistance.
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A conducting square loop of side \(L\) and resistance \(R\) moves in its plane with a uniform velocity \(v\) perpendicular to one of its sides. A magnetic field \(B\), constant in space and time, pointing perpendicular and into the plane of the loop exists everywhere as shown in Fig. 16.38. The current induced in the loop is (A) \(B L v / R\) clockwise (B) \(B L v / R\) anti-clockwise (C) \(2 B L v / R\) anti-clockwise (D) Zero
The EMF induced in a 1 millihenry inductor in which the current changes from \(5 \mathrm{~A}\) to \(3 \mathrm{~A}\) in \(10^{-3}\) second is (A) \(2 \times 10^{-6} \mathrm{~V}\) (B) \(8 \times 10^{-6} \mathrm{~V}\) (C) \(2 \mathrm{~V}\) (D) \(8 \mathrm{~V}\)
In a uniform magnetic field of induction \(B\), a wire in the form of a semicircle of radius \(r\) rotates about the diameter of the circle with an angular frequency \(\omega\). The axis of rotation is perpendicular to the field. If the total resistance of the circuit is \(R\), the mean power generated per period of rotation is (A) \(\frac{(B \pi r \omega)^{2}}{2 R}\) (B) \(\frac{\left(B \pi r^{2} \omega\right)^{2}}{8 R}\) (C) \(\frac{B \pi r^{2} \omega}{2 R}\) (D) \(\frac{\left(B \pi r \omega^{2}\right)^{2}}{8 R}\)
A coil of inductance \(1 H\) and resistance \(10 \Omega\) is connected to a resistance-less battery of EMF \(50 \mathrm{~V}\) at time \(t=0 .\) The ratio of rate at which magnetic energy is stored in the coil to the rate at which energy is supplied by the battery at \(t=0.1 \mathrm{~s} .\) is \(x \times 10^{-2}\). Find the value of \(x\). (Given \(\left.\frac{1}{e}=0.37\right)\)
Two straight long conductors \(A O B\) and \(C O D\) are perpendicular to each other and carry currents \(I_{1}\) and \(I_{2}\), respectively. The magnitude of the magnetic induction at a point \(P\) at a distance \(a\) from the point \(O\) in a direction perpendicular to the plane \(A B C D\) is (A) \(\frac{\mu_{0}}{2 \pi a}\left(I_{1}+I_{2}\right)\) (B) \(\frac{\mu_{0}}{2 \pi a}\left(I_{1}-I_{2}\right)\) (C) \(\frac{\mu_{0}}{2 \pi a}\left(I_{1}^{2}+I_{2}^{2}\right)^{1 / 2}\) (D) \(\frac{\mu_{0}}{2 \pi a}\left(\frac{I_{1} I_{2}}{I_{1}+I_{2}}\right)\)
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