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Four infinitely long parallel wires pass through the four corners of a square PQRS of side a that lies in a plane perpendicular to the wires (see figure).

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They all carry equal steady currents I. Currents in the wires passing through P and Q point out of the page, and the currents in the wires passing through R and S point into the page as shown in the figure. The magnitude of the magnetic field at the centre O of the square is 

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Important Questions on Moving Charges and Magnetism

MEDIUM
A current of 45 A is passing through an infinitely long wire which lies along the axis of an infinitely long solenoid of radius 1 cm. The magnetic field produced by the solenoid in the direction of the current in the wire is 4mT. What is the approximate magnitude of the resultant magnetic field at a point 3 mm radially away from the solenoid acis? (Use μ0=4π×10-7 T m/A )
EASY
1A current flows through an infinitely long straight wire. The magnetic field produced at a point 1 m away from it is
EASY

The graph showing the variation of the magnetic field strength (B) with distance (r) from a long current carrying conductor is

EASY

A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is

MEDIUM
A long, straight Wire of radius a carries a current distributed uniformly over its cross-section. The ratio of the magnetic fields due to the wire at distance a3 and 2a , respectively from the axis of the wire is:
EASY

Two long straight wires vertically pierced the plane of the paper at vertices of an equilateral triangle as shown in figure. They each carry 2 A, out of the paper. The magnetic field at the third vertex P has magnitude.

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MEDIUM

Two long straight parallel wires, carrying (adjustable) currents I1 and I2 , are kept at a distance d apart. If the force F between the two wires is taken as 'positive' when the wires repel each other and 'negative' when the wires attract each other, the graph showing the dependence of F, on the product I1I2 , would be:

MEDIUM
The magnetic field at a distance r from a long wire carrying current i is 0.4 T. The magnetic field at a distance 2r
MEDIUM
Two long straight parallel wires are a distance 2 d apart. They carry steady equal currents flowing out of the plane of the paper. The variation of magnetic field B along the line xx ' is given by
HARD
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Two long currents carrying thin wires, both with current I, are held by insulating threads of length L and are in equilibrium as shown in the figure, with threads making an angle ' θ ' with the vertical. If wires have a mass λ per unit length then the value of I is:
(g= gravitational acceleration)
EASY
The magnetic induction at a point P which is at a distance of 4 cm from a long current carrying wire is 10-3 T . The field of induction at a distance 12 cm from the current will be
MEDIUM

As shown in the figure, two infinitely long, identical wires are bent by 90o and placed in such a way that the segments LP and QM are along the x - axis, while segments PS and QN are parallel to the y - axis. If OP=OQ=4cm, and the magnitude of the magnetic field at O is 10-4 T, and the two wires carry equal currents (see figure), the magnitude of the current in each wire and the direction of the magnetic field at O will be μ0=4π×10-7NA-2:

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EASY
The intensity of magnetic field due to current I in a long straight wire is proportional to
MEDIUM
Two infinitely long straight wires lie in the xy - plane along the lines x=±R. The wire located at x = +R carries a constant current I1 and the wire located at x =-R carries a constant current I2. A circular loop of radius R is suspended with its centre at 0, 03R and in a plane parallel to the xy - plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the +j^ direction. Which of the following statements regarding the magnetic field B is (are) true?
EASY
An electron moving in a circular orbit of radius r makes n rotations per second. The magnetic field produced at the center has magnitude:
HARD

A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to X -axis while semicircular portion of radius R is lying in Y - Z plane. Magnetic field at point O is :

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MEDIUM
Two very long straight wires each carrying a current I are placed at r1=l j^ and r2=-l j^. The wires carry the current out of page (in k^ direction). If the magnitude of magnetic field due to current in wires at point r3=2l i^ is B=αμ0Il, then the value of constant α is (μ0 is the magnetic permeability)
MEDIUM

Two very long, straight, and insulated wires are kept at 90° angle from each other in xy plane as shown in the figure.
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These wires carry currents of equal magnitude I , whose direction are shown in the figure. The net magnetic field at point P will be:

HARD
Two infinitely long parallel wires carry currents of magnitude I1 and I2 and are at a distance 4 cm apart. The magnitude of the net magnetic field is found to reach a non-zero minimum values between the two wires and 1 cm away from the first wire. The ratio of the two currents and their mutual direction is