Inductance
PHXII06:ELECTROMAGNETIC INDUCTION

358520 What is the mutual inductance of a two-loop system as shown with centre separation \(l\) ?
supporting img

1 \(\dfrac{\mu_{o} \pi a^{4}}{8 l^{3}}\)
2 \(\dfrac{\mu_{o} \pi a^{4}}{4 l^{3}}\)
3 \(\dfrac{\mu_{o} \pi a^{4}}{6 l^{3}}\)
4 \(\dfrac{\mu_{o} \pi a^{4}}{2 l^{3}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358521 Two coaxial solenoids are made by winding a thin insulated wire over a pipe of cross sectional area \(A = 10\;\,c{m^2}\) and length \(20\;\,cm\). If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is \(\left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}\,Tm/A} \right)\)

1 \(2.4\pi \times {10^{ - 4}}\,H\)
2 \(2.4\pi \times {10^{ - 5}}\,H\)
3 \(4.8\pi \times {10^{ - 4}}\,H\)
4 \(4.8\pi \times {10^{ - 5}}\,H\)
PHXII06:ELECTROMAGNETIC INDUCTION

358522 Two coils \(P\) and \(Q\) are kept near each other. When no current flows through coil \(P\) and current increases in coil \(Q\) at the rate \(10\,\;A/s\), the emf in coil \(P\,{\text{is}}\,15\,mV\). When coil \(Q\) carries no current and current of \(1.8\;\,A\) flows through coil \(P\), the magnetic flux linked with the coil \(Q\) is

1 \(1.4\,mWb\)
2 \(2.2\,mWb\)
3 \(2.7\,mWb\)
4 \(2.9\,mWb\)
PHXII06:ELECTROMAGNETIC INDUCTION

358523 The coefficient of mutual inductance of two coils is \(6\,mH\). If the current flowing in one is 2 ampere, then the induced e.m.f. in the second coil will be:

1 \(3\,mV\)
2 \(2\,mV\)
3 \(3\,\;V\)
4 Zero
PHXII06:ELECTROMAGNETIC INDUCTION

358520 What is the mutual inductance of a two-loop system as shown with centre separation \(l\) ?
supporting img

1 \(\dfrac{\mu_{o} \pi a^{4}}{8 l^{3}}\)
2 \(\dfrac{\mu_{o} \pi a^{4}}{4 l^{3}}\)
3 \(\dfrac{\mu_{o} \pi a^{4}}{6 l^{3}}\)
4 \(\dfrac{\mu_{o} \pi a^{4}}{2 l^{3}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358521 Two coaxial solenoids are made by winding a thin insulated wire over a pipe of cross sectional area \(A = 10\;\,c{m^2}\) and length \(20\;\,cm\). If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is \(\left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}\,Tm/A} \right)\)

1 \(2.4\pi \times {10^{ - 4}}\,H\)
2 \(2.4\pi \times {10^{ - 5}}\,H\)
3 \(4.8\pi \times {10^{ - 4}}\,H\)
4 \(4.8\pi \times {10^{ - 5}}\,H\)
PHXII06:ELECTROMAGNETIC INDUCTION

358522 Two coils \(P\) and \(Q\) are kept near each other. When no current flows through coil \(P\) and current increases in coil \(Q\) at the rate \(10\,\;A/s\), the emf in coil \(P\,{\text{is}}\,15\,mV\). When coil \(Q\) carries no current and current of \(1.8\;\,A\) flows through coil \(P\), the magnetic flux linked with the coil \(Q\) is

1 \(1.4\,mWb\)
2 \(2.2\,mWb\)
3 \(2.7\,mWb\)
4 \(2.9\,mWb\)
PHXII06:ELECTROMAGNETIC INDUCTION

358523 The coefficient of mutual inductance of two coils is \(6\,mH\). If the current flowing in one is 2 ampere, then the induced e.m.f. in the second coil will be:

1 \(3\,mV\)
2 \(2\,mV\)
3 \(3\,\;V\)
4 Zero
PHXII06:ELECTROMAGNETIC INDUCTION

358520 What is the mutual inductance of a two-loop system as shown with centre separation \(l\) ?
supporting img

1 \(\dfrac{\mu_{o} \pi a^{4}}{8 l^{3}}\)
2 \(\dfrac{\mu_{o} \pi a^{4}}{4 l^{3}}\)
3 \(\dfrac{\mu_{o} \pi a^{4}}{6 l^{3}}\)
4 \(\dfrac{\mu_{o} \pi a^{4}}{2 l^{3}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358521 Two coaxial solenoids are made by winding a thin insulated wire over a pipe of cross sectional area \(A = 10\;\,c{m^2}\) and length \(20\;\,cm\). If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is \(\left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}\,Tm/A} \right)\)

1 \(2.4\pi \times {10^{ - 4}}\,H\)
2 \(2.4\pi \times {10^{ - 5}}\,H\)
3 \(4.8\pi \times {10^{ - 4}}\,H\)
4 \(4.8\pi \times {10^{ - 5}}\,H\)
PHXII06:ELECTROMAGNETIC INDUCTION

358522 Two coils \(P\) and \(Q\) are kept near each other. When no current flows through coil \(P\) and current increases in coil \(Q\) at the rate \(10\,\;A/s\), the emf in coil \(P\,{\text{is}}\,15\,mV\). When coil \(Q\) carries no current and current of \(1.8\;\,A\) flows through coil \(P\), the magnetic flux linked with the coil \(Q\) is

1 \(1.4\,mWb\)
2 \(2.2\,mWb\)
3 \(2.7\,mWb\)
4 \(2.9\,mWb\)
PHXII06:ELECTROMAGNETIC INDUCTION

358523 The coefficient of mutual inductance of two coils is \(6\,mH\). If the current flowing in one is 2 ampere, then the induced e.m.f. in the second coil will be:

1 \(3\,mV\)
2 \(2\,mV\)
3 \(3\,\;V\)
4 Zero
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PHXII06:ELECTROMAGNETIC INDUCTION

358520 What is the mutual inductance of a two-loop system as shown with centre separation \(l\) ?
supporting img

1 \(\dfrac{\mu_{o} \pi a^{4}}{8 l^{3}}\)
2 \(\dfrac{\mu_{o} \pi a^{4}}{4 l^{3}}\)
3 \(\dfrac{\mu_{o} \pi a^{4}}{6 l^{3}}\)
4 \(\dfrac{\mu_{o} \pi a^{4}}{2 l^{3}}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358521 Two coaxial solenoids are made by winding a thin insulated wire over a pipe of cross sectional area \(A = 10\;\,c{m^2}\) and length \(20\;\,cm\). If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is \(\left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}\,Tm/A} \right)\)

1 \(2.4\pi \times {10^{ - 4}}\,H\)
2 \(2.4\pi \times {10^{ - 5}}\,H\)
3 \(4.8\pi \times {10^{ - 4}}\,H\)
4 \(4.8\pi \times {10^{ - 5}}\,H\)
PHXII06:ELECTROMAGNETIC INDUCTION

358522 Two coils \(P\) and \(Q\) are kept near each other. When no current flows through coil \(P\) and current increases in coil \(Q\) at the rate \(10\,\;A/s\), the emf in coil \(P\,{\text{is}}\,15\,mV\). When coil \(Q\) carries no current and current of \(1.8\;\,A\) flows through coil \(P\), the magnetic flux linked with the coil \(Q\) is

1 \(1.4\,mWb\)
2 \(2.2\,mWb\)
3 \(2.7\,mWb\)
4 \(2.9\,mWb\)
PHXII06:ELECTROMAGNETIC INDUCTION

358523 The coefficient of mutual inductance of two coils is \(6\,mH\). If the current flowing in one is 2 ampere, then the induced e.m.f. in the second coil will be:

1 \(3\,mV\)
2 \(2\,mV\)
3 \(3\,\;V\)
4 Zero