Advertisements
Advertisements
प्रश्न
Answer the following question.
When a conducting loop of resistance 10 Ω and area 10 cm2 is removed from an external magnetic field acting normally, the variation of induced current-I in the loop with time t is as shown in the figure.
Find the
(a) total charge passed through the loop.
(b) change in magnetic flux through the loop
(c) magnitude of the field applied
Advertisements
उत्तर
`I = ("dq")/("dt") ⇒ "dq = "I"d"t"`
Hence area under the I-t curve gives charge flown.
Area of the I-t curve (as given in the question) = `1/2 xx 2 xx 1/2 = 0.5`
Total charge passed through the loop = 0.5 C
Now we know
`Δ"Q" = (Δvarphi)/"R"`
`Δvarphi = Δ"Q" xx "R" = 1/2 xx 10Omega = 5 "Wb"`
Charge in magnetic flux through the loop= 5 Wb
`Δvarphi = "B" (Δ"A")`
`5 = "B" (0.001)`
`"B" = 5000 "T"`
The magnitude of the field applied = 5000 T
APPEARS IN
संबंधित प्रश्न
Ram is a student of class X in a village school. His uncle gifted him a bicycle with a dynamo fitted in it. He was very excited to get it. While cycling during night, he could light the bulb and see the objects on the road. He, however, did not know how this device works. he asked this question to his teacher. The teacher considered it an opportunity to explain the working to the whole class.
Answer the following questions:
(a) State the principle and working of a dynamo.
(b) Write two values each displayed by Ram and his school teacher.
The current flowing through an inductor of self inductance L is continuously increasing. Plot a graph showing the variation of
Magnetic flux versus the current
Draw a schematic sketch of an ac generator describing its basic elements. State briefly its working principle. Show a plot of variation of
(i) Magnetic flux and
(ii) Alternating emf versus time generated by a loop of wire rotating in a magnetic field.
A rectangular coil having 60 turns and area of 0.4m2 is held at right angles to a uniform magnetic field of flux density 5 × 10-5T. Calculate the magnetic flux passing through it.
An inductor is connected to a battery through a switch. Explain why the emf induced in the inductor is much larger when the switch is opened as compared to the emf induced when the switch is closed.
Find magnetic flux density at a point on the axis of a long solenoid having 5000 tums/m when it carrying a current of 2 A.
The magnetic flux linked with a coil of N turns of area of cross-section A held with its plane parallel to the field B is ______.
The dimensions of magnetic flux are ______
A square of side L meters lies in the x-y plane in a region, where the magnetic field is given by `B = Bo(2hati + 3hatj + 4hatk)`T, where B0 is constant. The magnitude of flux passing through the square is ______.
