Question

1. A rectangular loop of area 20 x 30 cm is placed in a magnetic field of 0.3 T with its plane (i)
nomal to the field (ii) inclined 30" to the field and (i) parallel to the field. Find the flux linked with
the coil in each case.
(Ansli). 1.8 x 10-wb, (i). 0.9 x 10-Wb (iii) Zero )

2. The magnetic flux through a coil perpendicular to the plane is varying according to the relation
* = (5t' + 4t + 2t-5) Wb
Cakulate the induced current through the coil at t = 2s, f the resistance of the coil is 52
(Ans. 15.6 A )

3. A square loop cf side 10 cm and resistance of 0.702 is placed vertically in the east -west plane. A
uniform magnetic field of 0.10 T is set up across the plane in the north east direction. The
magnetic field is decreased to zero in 0.70 s at a steady rate. Determine the magnitudes of
incluced emf and current during this time- interval
(Ans. 1 mv 1.4 MA.)

4. A 10 2 resistance coil has 1000 turns and at a time 5.5 x 10-"Wb of flux passes through it. If the
flux falls to 0.5 x 10 Wb in 0.1 second, find the emf generated in volts and the charge flown
through the coil in coulombs.
(Ans. 5V, 0.05C)

5. A coil with an average diameter of 0.02 m is placed perepndicular to a magnetic field of 6000 T(
tesla). If the induced emf is 11V when the magnetic ficld is changed to 1000 T in 4s, what is the
number of turns in the coil?.
(Ans.28)

6. A wire 88 cm long bent into a circular loop is placed perpendicular to the magnetic field of flux
density 2.5 Wbm. Within 05, the loop is changed into 22 cm square and flux density is
increased to 3.0 Wbm, Calculate the value of the emf induced.
(Ans. 0.0176V)

7. A coil of mean area 500 cm? and having 1000 turns is held perpendicular to a uniform field of 0.4
gauss. The coil is turned through 180° in 1/10 second. Calculate the average induced emf.
(Ans. 004 V)

8. A coil of cross- sectional area A lies in a uniform magnetic field B with its plane perpendicular to
the field. In this position the normal to the coil makes an angle of 0° with the filed. The coil
rotates at a uniform rate to complete one rotaticn in time T. Find the average induced emf in the
coil during the interval when the coil rotates:
From 0° to 90° position
From 90° to 180° position
(i)
(ii)
From 180° to 270° position
From 270° to 360°.
(ii)
(iv)
(Ars. i) 4BA/T, (ii) 4BA/ T, (iii) - 4BA/T (iv)-4BA/T)
9. A conducting circular loop is placed in a uniform transverse magnetic field of 0.02 T. Somehow,
the radius of the loop begins to decrease at a constant rate of 1.0 mm/s. Find the emf induced in
the loop at the instant when the radius is 2 cm?
(Ans. 2.5 uV)
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Answer 1

Answer:

A rectangular loop of area 20cm×30cm is held in a magnetic field of 0.3 T with its plane inclined at (i) 30∘  

Explanation:

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