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Physics
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An electric field  \[\vec{E}  = ( \vec{i} 20 +  \vec{j} 30)   {NC}^{- 1}\]  exists in space. If the potential at the origin is taken to be zero, find the potential at (2 m, 2 m).

 
[1] Electric Charges and Fields
Chapter: [1] Electric Charges and Fields
Concept: undefined >> undefined

An electric field  \[\vec{E}  =  \vec{i}\]  Ax exists in space, where A = 10 V m−2. Take the potential at (10 m, 20 m) to be zero. Find the potential at the origin.

[1] Electric Charges and Fields
Chapter: [1] Electric Charges and Fields
Concept: undefined >> undefined

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The electric potential existing in space is \[\hspace{0.167em} V(x,   y,   z) = A(xy + yz + zx) .\] (a) Write the dimensional formula of A. (b) Find the expression for the electric field. (c) If A is 10 SI units, find the magnitude of the electric field at (1 m, 1 m, 1 m).

[1] Electric Charges and Fields
Chapter: [1] Electric Charges and Fields
Concept: undefined >> undefined

The kinetic energy of a charged particle decreases by 10 J as it moves from a point at potential 100 V to a point at potential 200 V. Find the charge on the particle.  

[1] Electric Charges and Fields
Chapter: [1] Electric Charges and Fields
Concept: undefined >> undefined

Find the magnitude of the electric field at the point P in the configuration shown in the figure for d >> a.

[1] Electric Charges and Fields
Chapter: [1] Electric Charges and Fields
Concept: undefined >> undefined

Assume that each atom in a copper wire contributes one free electron. Estimate the number of free electrons in a copper wire of mass 6.4 g (take the atomic weight of copper to be 64 g mol−1). 

[1] Electric Charges and Fields
Chapter: [1] Electric Charges and Fields
Concept: undefined >> undefined

Two proton beams going in the same direction repel each other whereas two wires carrying currents in the same direction attract each other. Explain.

[4] Moving Charges and Magnetism
Chapter: [4] Moving Charges and Magnetism
Concept: undefined >> undefined

A moving charge produces

[4] Moving Charges and Magnetism
Chapter: [4] Moving Charges and Magnetism
Concept: undefined >> undefined

Consider the following statements.
(A) Free-electron density is different in different metals.
(B) Free-electron density in a metal depends on temperature.
Seebeck Effect is caused _____________ .

[3] Current Electricity
Chapter: [3] Current Electricity
Concept: undefined >> undefined

Consider the following statements.
(A) Free-electron density is different in different metals.
(B) Free-electron density in a metal depends on temperature.

Peltier Effect is caused _______________ .

[3] Current Electricity
Chapter: [3] Current Electricity
Concept: undefined >> undefined

Consider the following statements.
(A) Free-electron density is different in different metals.
(B) Free-electron density in a metal depends on temperature.

Thomson Effect is caused _______________ .

[3] Current Electricity
Chapter: [3] Current Electricity
Concept: undefined >> undefined

Consider a long, straight wire of cross-sectional area A carrying a current i. Let there be n free electrons per unit volume. An observer places himself on a trolley moving in the direction opposite to the current with a speed  \[v = \frac{i}{\text{nAe}}\] and separation from the wire by a distance r. The magnetic field seen by the observer is very nearly  

[4] Moving Charges and Magnetism
Chapter: [4] Moving Charges and Magnetism
Concept: undefined >> undefined

A short magnet is moved along the axis of a conducting loop. Show that the loop repels the magnet if the magnet is approaching the loop and attracts the magnet if it is going away from the loop.

[6] Electromagnetic Induction
Chapter: [6] Electromagnetic Induction
Concept: undefined >> undefined

The battery discussed in the previous question is suddenly disconnected. Is a current induced in the other loop? If yes, when does it start and when does it end? Do the loops attract each other or repel?

[6] Electromagnetic Induction
Chapter: [6] Electromagnetic Induction
Concept: undefined >> undefined

A pivoted aluminium bar falls much more slowly through a small region containing a magnetic field than a similar bar of an insulating material. Explain.

[6] Electromagnetic Induction
Chapter: [6] Electromagnetic Induction
Concept: undefined >> undefined

Consider the situation shown in figure. If the switch is closed and after some time it is opened again, the closed loop will show ____________ .

[6] Electromagnetic Induction
Chapter: [6] Electromagnetic Induction
Concept: undefined >> undefined

A bar magnet is released from rest along the axis of a very long, vertical copper tube. After some time the magnet ____________ .

[6] Electromagnetic Induction
Chapter: [6] Electromagnetic Induction
Concept: undefined >> undefined

A tangent galvanometer shows a deflection of 45° when 10 mA of current is passed through it. If the horizontal component of the earth's magnetic field is `B_H = 3.6 xx 10^-5  "T"` and radius of the coil is 10 cm, find the number of turns in the coil.

[5] Magnetism and Matter
Chapter: [5] Magnetism and Matter
Concept: undefined >> undefined

Two circular loops of equal radii are placed coaxially at some separation. The first is cut and a battery is inserted in between to drive a current in it. The current changes slightly because of the variation in resistance with temperature. During this period, the two loops _______________ .

[6] Electromagnetic Induction
Chapter: [6] Electromagnetic Induction
Concept: undefined >> undefined

A bar magnet is moved along the axis of a copper ring placed far away from the magnet. Looking from the side of the magnet, an anticlockwise current is found to be induced in the ring. Which of the following may be true?
(a) The south pole faces the ring and the magnet moves towards it.
(b) The north pole faces the ring and the magnet moves towards it.
(c) The south pole faces the ring and the magnet moves away from it.
(d) The north pole faces the ring and the magnet moves away from it.

[6] Electromagnetic Induction
Chapter: [6] Electromagnetic Induction
Concept: undefined >> undefined
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