358563
The inductance of a closely-packed coil of 400 turns is \(8\,mH\). A current of \(5\;mA\) is passed through it. The magnetic flux through each turn of the coil is:
358564
When the current changed from \( + 2\;A\) to \( - 2\;A\) in \(0.5\,s\), an emf of \(8\;V\) is induced in a coil. The coefficient of self-induction of the coil is:
358565
The current passing through a choke coil of 5 henry is decreasing at a rate of \(2\;A/s\). The e.m.f. developing across the coil is
1 \( - 10\;V\)
2 \(10\;V\)
3 \( - 2.5\;V\)
4 \(2.5\;V\)
Explanation:
Given \(\dfrac{d i}{d t}=2 A /\) sec., \(L=5 H\) \(\therefore \quad \varepsilon = L\frac{{di}}{{dt}} = 5 \times 2 = 10\;V\)
PHXII06:ELECTROMAGNETIC INDUCTION
358566
What is the self-inductance of solenoid of length \(31.4\,\;cm\), area of cross-section \({10^{ - 3}}\;\,{m^2}\) and total number of turns \(10^{3}\) ?
1 \(4\,mH\)
2 \(4\,H\)
3 \(40\,H\)
4 \(0.4\,H\)
Explanation:
Given, \(A = {10^{ - 3}}\;{m^2}\) \(l = 31.4\;cm = 31.4 \times {10^{ - 2}}m\,{\rm{and}}\,N = {10^3}\) Magnetic flux, \(\begin{gathered}\phi=L i \Rightarrow N B A=L i \Rightarrow \dfrac{\mu_{0} N^{2} A}{\ell}=L i \\L=\dfrac{\mu_{0} N^{2} A}{\ell} \Rightarrow L=\dfrac{4 \pi \times 10^{-7} \times\left(10^{3}\right)^{2} \times 10^{-3}}{31.4 \times 10^{-2}}\end{gathered}\) \( = 4\,mH\)
358563
The inductance of a closely-packed coil of 400 turns is \(8\,mH\). A current of \(5\;mA\) is passed through it. The magnetic flux through each turn of the coil is:
358564
When the current changed from \( + 2\;A\) to \( - 2\;A\) in \(0.5\,s\), an emf of \(8\;V\) is induced in a coil. The coefficient of self-induction of the coil is:
358565
The current passing through a choke coil of 5 henry is decreasing at a rate of \(2\;A/s\). The e.m.f. developing across the coil is
1 \( - 10\;V\)
2 \(10\;V\)
3 \( - 2.5\;V\)
4 \(2.5\;V\)
Explanation:
Given \(\dfrac{d i}{d t}=2 A /\) sec., \(L=5 H\) \(\therefore \quad \varepsilon = L\frac{{di}}{{dt}} = 5 \times 2 = 10\;V\)
PHXII06:ELECTROMAGNETIC INDUCTION
358566
What is the self-inductance of solenoid of length \(31.4\,\;cm\), area of cross-section \({10^{ - 3}}\;\,{m^2}\) and total number of turns \(10^{3}\) ?
1 \(4\,mH\)
2 \(4\,H\)
3 \(40\,H\)
4 \(0.4\,H\)
Explanation:
Given, \(A = {10^{ - 3}}\;{m^2}\) \(l = 31.4\;cm = 31.4 \times {10^{ - 2}}m\,{\rm{and}}\,N = {10^3}\) Magnetic flux, \(\begin{gathered}\phi=L i \Rightarrow N B A=L i \Rightarrow \dfrac{\mu_{0} N^{2} A}{\ell}=L i \\L=\dfrac{\mu_{0} N^{2} A}{\ell} \Rightarrow L=\dfrac{4 \pi \times 10^{-7} \times\left(10^{3}\right)^{2} \times 10^{-3}}{31.4 \times 10^{-2}}\end{gathered}\) \( = 4\,mH\)
358563
The inductance of a closely-packed coil of 400 turns is \(8\,mH\). A current of \(5\;mA\) is passed through it. The magnetic flux through each turn of the coil is:
358564
When the current changed from \( + 2\;A\) to \( - 2\;A\) in \(0.5\,s\), an emf of \(8\;V\) is induced in a coil. The coefficient of self-induction of the coil is:
358565
The current passing through a choke coil of 5 henry is decreasing at a rate of \(2\;A/s\). The e.m.f. developing across the coil is
1 \( - 10\;V\)
2 \(10\;V\)
3 \( - 2.5\;V\)
4 \(2.5\;V\)
Explanation:
Given \(\dfrac{d i}{d t}=2 A /\) sec., \(L=5 H\) \(\therefore \quad \varepsilon = L\frac{{di}}{{dt}} = 5 \times 2 = 10\;V\)
PHXII06:ELECTROMAGNETIC INDUCTION
358566
What is the self-inductance of solenoid of length \(31.4\,\;cm\), area of cross-section \({10^{ - 3}}\;\,{m^2}\) and total number of turns \(10^{3}\) ?
1 \(4\,mH\)
2 \(4\,H\)
3 \(40\,H\)
4 \(0.4\,H\)
Explanation:
Given, \(A = {10^{ - 3}}\;{m^2}\) \(l = 31.4\;cm = 31.4 \times {10^{ - 2}}m\,{\rm{and}}\,N = {10^3}\) Magnetic flux, \(\begin{gathered}\phi=L i \Rightarrow N B A=L i \Rightarrow \dfrac{\mu_{0} N^{2} A}{\ell}=L i \\L=\dfrac{\mu_{0} N^{2} A}{\ell} \Rightarrow L=\dfrac{4 \pi \times 10^{-7} \times\left(10^{3}\right)^{2} \times 10^{-3}}{31.4 \times 10^{-2}}\end{gathered}\) \( = 4\,mH\)
358563
The inductance of a closely-packed coil of 400 turns is \(8\,mH\). A current of \(5\;mA\) is passed through it. The magnetic flux through each turn of the coil is:
358564
When the current changed from \( + 2\;A\) to \( - 2\;A\) in \(0.5\,s\), an emf of \(8\;V\) is induced in a coil. The coefficient of self-induction of the coil is:
358565
The current passing through a choke coil of 5 henry is decreasing at a rate of \(2\;A/s\). The e.m.f. developing across the coil is
1 \( - 10\;V\)
2 \(10\;V\)
3 \( - 2.5\;V\)
4 \(2.5\;V\)
Explanation:
Given \(\dfrac{d i}{d t}=2 A /\) sec., \(L=5 H\) \(\therefore \quad \varepsilon = L\frac{{di}}{{dt}} = 5 \times 2 = 10\;V\)
PHXII06:ELECTROMAGNETIC INDUCTION
358566
What is the self-inductance of solenoid of length \(31.4\,\;cm\), area of cross-section \({10^{ - 3}}\;\,{m^2}\) and total number of turns \(10^{3}\) ?
1 \(4\,mH\)
2 \(4\,H\)
3 \(40\,H\)
4 \(0.4\,H\)
Explanation:
Given, \(A = {10^{ - 3}}\;{m^2}\) \(l = 31.4\;cm = 31.4 \times {10^{ - 2}}m\,{\rm{and}}\,N = {10^3}\) Magnetic flux, \(\begin{gathered}\phi=L i \Rightarrow N B A=L i \Rightarrow \dfrac{\mu_{0} N^{2} A}{\ell}=L i \\L=\dfrac{\mu_{0} N^{2} A}{\ell} \Rightarrow L=\dfrac{4 \pi \times 10^{-7} \times\left(10^{3}\right)^{2} \times 10^{-3}}{31.4 \times 10^{-2}}\end{gathered}\) \( = 4\,mH\)