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A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B, also bent in the shape of an arc of a circle, carrying a current of 3 A and having radius of 4 cm, are placed as shown in the figure. The ratio of the magnetic fields due to the wires A and B at the common centre O is:

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Important Questions on Magnetic Effects of Current and Magnetism

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A circular coil has moment of inertia 0.8 kg m2 around any diameter and is carrying current to produce a magnetic moment of  20 A m2. The coil is kept initially in a vertical position and it can rotate freely around a horizontal diameter. When a uniform magnetic field of 4 T is applied along the vertical, it starts rotating around its horizontal diameter. The angular speed the coil acquires after rotating by 60o will be :
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A paramagnetic sample shows a net magnetisation of 6 A m-1 when it is placed in an external magnetic field of 0.4 T at a temperature of 4 K. When the sample is placed in an external magnetic field of 0.3 T at a temperature of 24 K, then the magnetisation will be :
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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 :
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A square loop of side 2a, and carrying current I is kept in XZ plane with its centre at origin. A long wire carrying the same current I is placed parallel to the z-axis and passing through the point (0, b, 0),(b>> a). The magnitude of the torque on the loop about z-axis is given by.
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An electrical power line, having a total resistance of 2Ω, delivers 1 kW at 220 V. The efficiency of the transmission line is approximately :
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A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of 6mA it produces a deflection of 2°, its figure of merit is close to :
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IMPORTANT
An iron rod of volume 10-3 m3 and relative permeability 1000 is placed as core in a solenoid with10 turns cm-1 . If a current of 0.5 A is passed through the solenoid, then the magnetic moment of the rod will be :
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A particle of charge q and mass m is moving with a velocity -vi^(v0) towards a large screen placed in the Y-Z plane at distance d. If there is magnetic field B=B0k^, the minimum value of v for which the particle will not hit the screen is :