Home
Class 12
PHYSICS
Shown a metallic square frame of edga a ...

Shown a metallic square frame of edga a in a vertical plane. A uniform magnetic field B exists in the space in a directon perpendicular to the plane of the figure. Two boys pull the opposite corners of the square ot deform it into a rhombus. They start pulling the corners t t=0 and sisplace the corners at a uniform speed u. (a) find the induced emf in the frame at the instant when the angles at these corners reduce to `60^@`. (b) find the induced current in the frame at this instatnt if the total resistance of the frame is R. (c) Find the total charge which flows through a side of the frame by the time the square is deformed into a straight line.

Text Solution

Verified by Experts

(a) The perpendicular component i.e a sin theta is to be taken which is perpendicular to velocity`
`So, l=a sin 30^(@) =(a/2)`
`Net 'a' charge =4xx(a/2)=2a`
`So, induced emf= Bul=2auB`
`(b) Current=(e/R)=(2auB)/(R )`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    HC VERMA|Exercise Exercises|89 Videos

  • ELECTRIC FIELD AND POTENTIAL

    HC VERMA|Exercise Exercises|75 Videos

  • ELECTROMAGNETIC WAVES

    HC VERMA|Exercise Exercises|9 Videos

Similar Questions

Explore conceptually related problems

A coil of area A is placed in the X-Y plane. A uniform magnetic field B_0hati established. The emf induced in the coil is ____

A circular loop enters a uniform magnetic field as shown in the figure. The current induced in the coil ____

The given loop is kept in a uniform magnetic field perpendicular to the plane of the loop. The field changes from 1000 Gauss to 500 Gauss in 5 seconds. The average induced emf in the loop is

A uniform magnetic field of 0.3 T is established along the positive Z-direction. A rectangular loop in XY plane of sides 10 cm and 5 cm carries a current of I = 12 A as shown. The torque on the loop is _____

Three points charges are placed at the corners of an equilateral triangle of side L as shown in the figure: find the resultant dipole moment

A graph shown in the figure represents the variation of uniform magnetic field with time. If this field linked with a conducting loop completely and its perpendicular to the plane of the coil. In which time interval of induced emf in the coil is maximum ?

A conducting circular loop is placed in a uniform magnetic field of 0.04 T with its plane perpendicular to the field. Some how, the radius of the loop starts shrinking at a constant rate of 2 mm/s. Find the induced emf in the loop at an instant when the radius becomes 2 cm solution.

Four charges are arranged at the corners of a square ABCD as shown in the figure. The force on the charge kept at the centre O will be:

As shown in the figure, a conducting rod of length I, mass m and resistance R falls through a magnetic field vecB in a plane perpendicular to plane of figure. Find terminal velocity of rod.

A rectrangular coil 20cmxx20cm has 100 turns and carries a current of 1 A. It is placed in a uniform magnetic field B = 0.5T with the direction of magnetic field parallel to the plane of the coil. Find the magnitude of the torque required to hold this coil in this position.