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Question 21 Mark
Volt-second is unit of which physical quantity?
Answer
From $\varepsilon=\frac{\Delta \phi}{\Delta t }, \Delta \phi=\varepsilon \times \Delta t$
$\begin{array}{l} \text { Unit of magnetic flux }=\text { Unit of induced emf } \varepsilon \times \text { unit } \\ \text { of time }\end{array}$
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Question 31 Mark
Use Lenz's law to determine the direction of induced current in the situations described in the given figure:
(a) A wire of irregular shape turning into a circular shape.
(b) A circular loop being deformed into a narrow straight wire.
Image
Answer
(a) Along the direction adcb, during shape change flux passing through the surface increases. Hence, induced current generates opposing flux.
(b) Along a'b'c'd' (flux decreases in this).
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Question 41 Mark
Graph between magnetic flux $\phi$ and electric current $I$ for two inductors $A$ and $B$ is given in the figure. The magnitude of self-inductance will be more for whom?
Image
Answer
Since $\phi= LI \Rightarrow L =\phi / I$ and $\phi= LI \Rightarrow \phi \propto I$
Hence there is a linear graph between $\phi$ and $I$ and slope of $\phi / I$ will represent the self-inductance of the inductor. The slope of A is more than as compared to that of B , so selfinductance of A will be more.
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Question 51 Mark
In the given figure, magnitude of current is increasing in the wire xy from x to y . Is there any induced current in a loop placed near the wire?
Image
Answer
Yes, and direction of induced current will be clockwise. According to right hand thumb rule, due to current in wire xy, magnetic field passing through the loop will be perpendicularly outwards and according to Lenz's law, the direction will be such that it opposes the current from increasing in that surface.
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Question 61 Mark
What will be the magnitude of induced current in circular loop KLMN of radius $r$ if constant current of $1 A$ is passed in straight wire $P Q$ ?
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Answer
Zero, because when current is kept constant in PQ , then there is no change in magnetic flux in a coil placed near to it, hence no current will be induced.
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Question 71 Mark
Two coils $P$ and $Q$ are shown in the figure given. What will be the direction of momentarily induced current in coil $Q$ when (i) switch $K$ is closed and (ii) switch $K$ is again opened after some time?
Image
Answer
(i) Anticlockwise (ii) Clockwise.
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Question 81 Mark
When a current of 2 A is passed through a coil, then magnetic flux of magnitude 40 milli $W b$ is obtained. What is self-induction of the coil?
Answer
$L=\frac{N \phi}{I}=\frac{40 \times 10^{-3} \text { Weber }}{2 \text { Ampere }} $
$=20 \times 10^{-3}$
$=20 \times 10^{-3}=20 mH$
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Question 91 Mark
Two coils one of larger radius $R$ and other of smaller radius $r$ are kept near. If mutual induction coefficient for this pair is 1 mH what is the magnetic flux associated with the larger coil when a current of 0.5 A is flowing in the smaller coil? When current in smaller coil is zero then what is its effect on larger coil?
Answer
Given : $ \begin{array}{l} M=1 m \text { henry }=10^{-3} H \\
I_1=0.5 A \end{array} $
$\therefore$ Magnetic flux related ot larger coil
$ \begin{aligned} \phi_2 & =MI_1=10^{-3} \times 0.5 \\
& =5.0 \times 10^{-4} Wb \end{aligned} $
When current in the smaller coil becomes zero, then induced emf will be generated in larger coil due to decrease in magnetic flux.
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Question 101 Mark
Current obtained from a choke coil of 2 henry is decreasing at the rate of $5 A / s$. Calculate the electromotive force developed across the ends of the coil.
Answer
$\quad \frac{\Delta I }{\Delta t}=-5 A / s$ and $L =2 H$
$\varepsilon=- L \left(\frac{\Delta I }{\Delta t }\right)=-2 \times(-5)=10 volt$
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Question 111 Mark
An emf of 20 m volt is induced in the coil when the rate of change of current in the solenoid is $4 A / s$, then what is the self-inductance of the coil?
Answer
$|\varepsilon|= L \frac{\Delta I }{\Delta t } \Rightarrow L =\frac{|\varepsilon|}{\frac{\Delta I }{\Delta t }}$
$L =\frac{20 \times 10^{-3} \text { Volt }}{4 \text { Ampere } / \text { second }}$
$=5 \times 10^{-3} \frac{\text { Volt } / \text { second }}{\text { Ampere }}$
$=5 \times 10^{-3}$ Henry $=5 mH$
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Question 171 Mark
In the figure given below, on moving a magnet NS kept between two coils AB and CD in the direction of arrow, in which coil the direction of induced current will be anticlockwise when seen from left?
Image
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Question 181 Mark
Current in any circuit decreases from 5.0 A to 1.0 A in 0.1 s. If average induced emf is 200 V, then analyze self-induction in the coil.
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Question 191 Mark
If magnitude of current is made twice in any inductor, then how many times will the stored energy become?
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Question 201 Mark
When the south pole of a bar magnet is taken close to a coil, then what is the direction of induced current in the coil? Explain with reason.
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Question 211 Mark
In resistance box, the resistor wires that are used are joined by folding twice in the shape of the coil. Why?
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Question 221 Mark
In a rectangular wire, due to a source of emf, a constant current is flowing from left to right. When the switch of the source is off, then what will be the direction of induced current in the wire?
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Question 231 Mark
In two co-axial same circular coils, same current is flowing in the same direction. If both the coils are brought towards each other, then what will be the change in the current?
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Question 291 Mark
If plane of any loop is kept parallel to the magnetic field, then what is the magnitude of magnetic flux associated with the loop?
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Question 331 Mark
When magnetic flux passing through any coil changes, is (i) an induced electromotive force and (ii) current always generated?
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Question 341 Mark
If a core of iron is inserted in the middle of a coil, then what is the effect on the magnitude of its self- inductance?
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1 Marks Question - Physics STD 12 Science Questions - Vidyadip