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Which one of the following options represents the magnetic field B at O due to the current flowing in the given wire segments lying on the xy plane?

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Important Questions on Magnetic Effect of Current

HARD
A symmetric star shaped conducting wire loop is carrying a steady state current I as shown in the figure. The distance between the diametrically opposite vertices of the star is 4a. The magnitude of the magnetic field at the center of the loop is___

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EASY

An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current I along the same direction is shown in Figure. Magnitude of force per unit length on the middle wire B is given by

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MEDIUM

Consider two straight parallel conductors A and B separated by a distance x and carrying individual currents iA and iB respectively. If the two conductors attract each other, it indicates that

MEDIUM

A rigid square loop of side a and carrying current I2 is lying on a horizontal surface near a long current I1 carrying wire in the same plane as shown in figure. The net force on the loop due to the wire will be:
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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 wires A &  B are carrying currents I1 and I2 as shown in the figure. The separation between them is  d . A third wire C carrying a current I is to be kept parallel to them at a distance x from A such that the net force acting on it is zero. The possible values of x are:
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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
Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side 10 cm,50 turns and carrying currentI  (Ampere) in units of μ0Iπ is :
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
MEDIUM

Find the magnetic field at point P due to a straight line segment AB of length 6 cm carrying a current of 5 A. (See figure) μ0=4π×10-7 NA-2

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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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MEDIUM
Two identical long conducting wires AOB and COD are placed at right angle to each other, with one above other such that ‘ O ’ is their common point for the two. The wires carry I1 and I2 currents, respectively. Point ‘ I ’ is lying at distance ‘ d ’ from ‘ O ’ along a direction perpendicular to the plane containing the wires. The magnetic field at the point ‘ P ’ will be:
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:

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
An electrical power line, having a total resistance of 2Ω, delivers 1 kW at 220 V. The efficiency of the transmission line is approximately :
MEDIUM
A galvanometer of resistance G is converted into a voltameter of range 0-1 V by connecting a resistance R in series with it. The additional resistance that should be connected in series with R1 to increase the range of the voltmeter to 0-2V will be :
MEDIUM

A rectangular conducting loop of length 42m and breadth 4m carrying a current of 5A in the anti-clockwise direction is placed in the xy -plane. The magnitude of the magnetic induction field vector B at the intersection of the diagonal is use μ0=4π×10-7NA-2
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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:

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)