The Experiments of Faraday and Henry
PHXII06:ELECTROMAGNETIC INDUCTION

358692 The magnetic field \(B=2 t+4 t^{2}\) (where \(t = \) time) is applied perpendicular to the plane of a circular wire of radius \(r\) and resistance \(R\). If all the units are in SI, the electric charge that flows through the circular wire during \(t=0\) s to \(t=2 s\) is

1 \(\dfrac{48 \pi r^{2}}{R}\)
2 \(\dfrac{20 \pi r^{2}}{R}\)
3 \(\dfrac{6 \pi r^{2}}{R}\)
4 \(\dfrac{32 \pi r^{2}}{R}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358693 A small coil is introduced between the poles of an electromagnet so that its axis coincides with the magnetic field direction. The number of turns is \(n\) and the cross-sectional area of the coil is \(A\). When the coil turns through \(180^{\circ}\) about its diameter, the charge flowing through the coil is \(Q\). The total resistance of the circuit is \(R\). What is the magnitude of the magnetic induction?

1 \(\dfrac{Q R}{n A}\)
2 \(\dfrac{2 Q R}{n A}\)
3 \(\dfrac{Q n}{2 R A}\)
4 \(\dfrac{Q R}{2 n A}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358694 A coil of \(40 \Omega\) resistance has 100 turns and radius \(6\;mm\) is connected to an ammeter of resistance of \(160 \Omega\). Coil is placed perpendicular to the magnetic field. When coil is taken out of the field, \(32 \mu C\) charge flows through it. The intensity of magnetic field will be

1 \(0.566\,T\)
2 \(0.655\;T\)
3 \(5.66\;T\)
4 \(6.55\;T\)
PHXII06:ELECTROMAGNETIC INDUCTION

358695 A closed coil having 20 turns, area of cross-section \({1 {~cm}^{2}}\) and resistance \(2\,ohms\) are connected to a ballistic galvanometer of resistance \(30\,ohms\). If the normal of the coil is inclined at \({60^{\circ}}\) to the direction of a magnetic field of intensity \({1.5 {~Wb} / {m}^{2}}\), the coil is quickly pulled out of the field to a region of zero magnetic field, the charge passed through the galvanometer is

1 \(50\,\mu C\)
2 \(30\,\mu C\)
3 \(70\,\mu C\)
4 \(40\,\mu C\)
PHXII06:ELECTROMAGNETIC INDUCTION

358696 The flux associated with coil changes from 1.35 \(Wb\) to \(0.79\;Wb\) within \(\dfrac{1}{10} s\). Then, the charge flows through the coil, if resistance of coil is \(7 \Omega\) is:

1 \(0.08\,C\)
2 \(0.8\,C\)
3 \(0.008\,C\)
4 \(8\,C\)
PHXII06:ELECTROMAGNETIC INDUCTION

358692 The magnetic field \(B=2 t+4 t^{2}\) (where \(t = \) time) is applied perpendicular to the plane of a circular wire of radius \(r\) and resistance \(R\). If all the units are in SI, the electric charge that flows through the circular wire during \(t=0\) s to \(t=2 s\) is

1 \(\dfrac{48 \pi r^{2}}{R}\)
2 \(\dfrac{20 \pi r^{2}}{R}\)
3 \(\dfrac{6 \pi r^{2}}{R}\)
4 \(\dfrac{32 \pi r^{2}}{R}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358693 A small coil is introduced between the poles of an electromagnet so that its axis coincides with the magnetic field direction. The number of turns is \(n\) and the cross-sectional area of the coil is \(A\). When the coil turns through \(180^{\circ}\) about its diameter, the charge flowing through the coil is \(Q\). The total resistance of the circuit is \(R\). What is the magnitude of the magnetic induction?

1 \(\dfrac{Q R}{n A}\)
2 \(\dfrac{2 Q R}{n A}\)
3 \(\dfrac{Q n}{2 R A}\)
4 \(\dfrac{Q R}{2 n A}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358694 A coil of \(40 \Omega\) resistance has 100 turns and radius \(6\;mm\) is connected to an ammeter of resistance of \(160 \Omega\). Coil is placed perpendicular to the magnetic field. When coil is taken out of the field, \(32 \mu C\) charge flows through it. The intensity of magnetic field will be

1 \(0.566\,T\)
2 \(0.655\;T\)
3 \(5.66\;T\)
4 \(6.55\;T\)
PHXII06:ELECTROMAGNETIC INDUCTION

358695 A closed coil having 20 turns, area of cross-section \({1 {~cm}^{2}}\) and resistance \(2\,ohms\) are connected to a ballistic galvanometer of resistance \(30\,ohms\). If the normal of the coil is inclined at \({60^{\circ}}\) to the direction of a magnetic field of intensity \({1.5 {~Wb} / {m}^{2}}\), the coil is quickly pulled out of the field to a region of zero magnetic field, the charge passed through the galvanometer is

1 \(50\,\mu C\)
2 \(30\,\mu C\)
3 \(70\,\mu C\)
4 \(40\,\mu C\)
PHXII06:ELECTROMAGNETIC INDUCTION

358696 The flux associated with coil changes from 1.35 \(Wb\) to \(0.79\;Wb\) within \(\dfrac{1}{10} s\). Then, the charge flows through the coil, if resistance of coil is \(7 \Omega\) is:

1 \(0.08\,C\)
2 \(0.8\,C\)
3 \(0.008\,C\)
4 \(8\,C\)
PHXII06:ELECTROMAGNETIC INDUCTION

358692 The magnetic field \(B=2 t+4 t^{2}\) (where \(t = \) time) is applied perpendicular to the plane of a circular wire of radius \(r\) and resistance \(R\). If all the units are in SI, the electric charge that flows through the circular wire during \(t=0\) s to \(t=2 s\) is

1 \(\dfrac{48 \pi r^{2}}{R}\)
2 \(\dfrac{20 \pi r^{2}}{R}\)
3 \(\dfrac{6 \pi r^{2}}{R}\)
4 \(\dfrac{32 \pi r^{2}}{R}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358693 A small coil is introduced between the poles of an electromagnet so that its axis coincides with the magnetic field direction. The number of turns is \(n\) and the cross-sectional area of the coil is \(A\). When the coil turns through \(180^{\circ}\) about its diameter, the charge flowing through the coil is \(Q\). The total resistance of the circuit is \(R\). What is the magnitude of the magnetic induction?

1 \(\dfrac{Q R}{n A}\)
2 \(\dfrac{2 Q R}{n A}\)
3 \(\dfrac{Q n}{2 R A}\)
4 \(\dfrac{Q R}{2 n A}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358694 A coil of \(40 \Omega\) resistance has 100 turns and radius \(6\;mm\) is connected to an ammeter of resistance of \(160 \Omega\). Coil is placed perpendicular to the magnetic field. When coil is taken out of the field, \(32 \mu C\) charge flows through it. The intensity of magnetic field will be

1 \(0.566\,T\)
2 \(0.655\;T\)
3 \(5.66\;T\)
4 \(6.55\;T\)
PHXII06:ELECTROMAGNETIC INDUCTION

358695 A closed coil having 20 turns, area of cross-section \({1 {~cm}^{2}}\) and resistance \(2\,ohms\) are connected to a ballistic galvanometer of resistance \(30\,ohms\). If the normal of the coil is inclined at \({60^{\circ}}\) to the direction of a magnetic field of intensity \({1.5 {~Wb} / {m}^{2}}\), the coil is quickly pulled out of the field to a region of zero magnetic field, the charge passed through the galvanometer is

1 \(50\,\mu C\)
2 \(30\,\mu C\)
3 \(70\,\mu C\)
4 \(40\,\mu C\)
PHXII06:ELECTROMAGNETIC INDUCTION

358696 The flux associated with coil changes from 1.35 \(Wb\) to \(0.79\;Wb\) within \(\dfrac{1}{10} s\). Then, the charge flows through the coil, if resistance of coil is \(7 \Omega\) is:

1 \(0.08\,C\)
2 \(0.8\,C\)
3 \(0.008\,C\)
4 \(8\,C\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358692 The magnetic field \(B=2 t+4 t^{2}\) (where \(t = \) time) is applied perpendicular to the plane of a circular wire of radius \(r\) and resistance \(R\). If all the units are in SI, the electric charge that flows through the circular wire during \(t=0\) s to \(t=2 s\) is

1 \(\dfrac{48 \pi r^{2}}{R}\)
2 \(\dfrac{20 \pi r^{2}}{R}\)
3 \(\dfrac{6 \pi r^{2}}{R}\)
4 \(\dfrac{32 \pi r^{2}}{R}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358693 A small coil is introduced between the poles of an electromagnet so that its axis coincides with the magnetic field direction. The number of turns is \(n\) and the cross-sectional area of the coil is \(A\). When the coil turns through \(180^{\circ}\) about its diameter, the charge flowing through the coil is \(Q\). The total resistance of the circuit is \(R\). What is the magnitude of the magnetic induction?

1 \(\dfrac{Q R}{n A}\)
2 \(\dfrac{2 Q R}{n A}\)
3 \(\dfrac{Q n}{2 R A}\)
4 \(\dfrac{Q R}{2 n A}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358694 A coil of \(40 \Omega\) resistance has 100 turns and radius \(6\;mm\) is connected to an ammeter of resistance of \(160 \Omega\). Coil is placed perpendicular to the magnetic field. When coil is taken out of the field, \(32 \mu C\) charge flows through it. The intensity of magnetic field will be

1 \(0.566\,T\)
2 \(0.655\;T\)
3 \(5.66\;T\)
4 \(6.55\;T\)
PHXII06:ELECTROMAGNETIC INDUCTION

358695 A closed coil having 20 turns, area of cross-section \({1 {~cm}^{2}}\) and resistance \(2\,ohms\) are connected to a ballistic galvanometer of resistance \(30\,ohms\). If the normal of the coil is inclined at \({60^{\circ}}\) to the direction of a magnetic field of intensity \({1.5 {~Wb} / {m}^{2}}\), the coil is quickly pulled out of the field to a region of zero magnetic field, the charge passed through the galvanometer is

1 \(50\,\mu C\)
2 \(30\,\mu C\)
3 \(70\,\mu C\)
4 \(40\,\mu C\)
PHXII06:ELECTROMAGNETIC INDUCTION

358696 The flux associated with coil changes from 1.35 \(Wb\) to \(0.79\;Wb\) within \(\dfrac{1}{10} s\). Then, the charge flows through the coil, if resistance of coil is \(7 \Omega\) is:

1 \(0.08\,C\)
2 \(0.8\,C\)
3 \(0.008\,C\)
4 \(8\,C\)
PHXII06:ELECTROMAGNETIC INDUCTION

358692 The magnetic field \(B=2 t+4 t^{2}\) (where \(t = \) time) is applied perpendicular to the plane of a circular wire of radius \(r\) and resistance \(R\). If all the units are in SI, the electric charge that flows through the circular wire during \(t=0\) s to \(t=2 s\) is

1 \(\dfrac{48 \pi r^{2}}{R}\)
2 \(\dfrac{20 \pi r^{2}}{R}\)
3 \(\dfrac{6 \pi r^{2}}{R}\)
4 \(\dfrac{32 \pi r^{2}}{R}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358693 A small coil is introduced between the poles of an electromagnet so that its axis coincides with the magnetic field direction. The number of turns is \(n\) and the cross-sectional area of the coil is \(A\). When the coil turns through \(180^{\circ}\) about its diameter, the charge flowing through the coil is \(Q\). The total resistance of the circuit is \(R\). What is the magnitude of the magnetic induction?

1 \(\dfrac{Q R}{n A}\)
2 \(\dfrac{2 Q R}{n A}\)
3 \(\dfrac{Q n}{2 R A}\)
4 \(\dfrac{Q R}{2 n A}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358694 A coil of \(40 \Omega\) resistance has 100 turns and radius \(6\;mm\) is connected to an ammeter of resistance of \(160 \Omega\). Coil is placed perpendicular to the magnetic field. When coil is taken out of the field, \(32 \mu C\) charge flows through it. The intensity of magnetic field will be

1 \(0.566\,T\)
2 \(0.655\;T\)
3 \(5.66\;T\)
4 \(6.55\;T\)
PHXII06:ELECTROMAGNETIC INDUCTION

358695 A closed coil having 20 turns, area of cross-section \({1 {~cm}^{2}}\) and resistance \(2\,ohms\) are connected to a ballistic galvanometer of resistance \(30\,ohms\). If the normal of the coil is inclined at \({60^{\circ}}\) to the direction of a magnetic field of intensity \({1.5 {~Wb} / {m}^{2}}\), the coil is quickly pulled out of the field to a region of zero magnetic field, the charge passed through the galvanometer is

1 \(50\,\mu C\)
2 \(30\,\mu C\)
3 \(70\,\mu C\)
4 \(40\,\mu C\)
PHXII06:ELECTROMAGNETIC INDUCTION

358696 The flux associated with coil changes from 1.35 \(Wb\) to \(0.79\;Wb\) within \(\dfrac{1}{10} s\). Then, the charge flows through the coil, if resistance of coil is \(7 \Omega\) is:

1 \(0.08\,C\)
2 \(0.8\,C\)
3 \(0.008\,C\)
4 \(8\,C\)