HARD
JEE Advanced
IMPORTANT
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Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers Rc<R2, which of the following statement(s) about any one of the galvanometers is(are) true ?

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Important Questions on Magnetic Effects of Current and Magnetism

HARD
JEE Advanced
IMPORTANT

In a thin rectangular metallic strip a constant current I flows along the positive x - direction, as shown in the figure. The length, width and thickness of the strip are l, w and d, respectively. A uniform magnetic field B  is applied on the strip along positive y - direction. Due to this the charge carries experience a net deflection along the z-direction. This results in accumulation of charge carriers on the surface PQRS and appearance of equal opposite charges on the face opposite to PQRS. A potential difference along the z - direction is thus developed. Charge accumulation continues until the magnetic force is balanced by the electric force. The current is assumed to be uniformly distributed on the cross section of the strip and carried by electrons.

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Consider two different metallic strips (1 and 2) of the same material. Their lengths are the same, widths are w1 and w2 and thicknesses are d1 and d2 , respectively. Two points K and M are symmetrically located on the opposite faces parallel to the x - y plane (see figure). V1 and V2 are the potential differences between K and M in strips 1 and 2 respectively. Then, for a given current I flowing through them in a given magnetic field strength B , the correct statement(s) is (are)

HARD
JEE Advanced
IMPORTANT

In a thin rectangular metallic strip a constant current I flows along the positive x - direction, as shown in the figure. The length, width and thickness of the strip are l, w and d, respectively. A uniform magnetic field B  is applied on the strip along positive y - direction. Due to this the charge carries experience a net deflection along the z-direction. This results in accumulation of charge carriers on the surface PQRS and appearance of equal opposite charges on the face opposite to PQRS. A potential difference along the z - direction is thus developed. Charge accumulation continues until the magnetic force is balanced by the electric force. The current is assumed to be uniformly distributed on the cross section of the strip and carried by electrons.

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Consider two different metallic strips (1 and 2) of same dimensions (length l , width w and thickness d ) with carrier densities n1 and n2 , respectively. Strip 1 is placed in magnetic field B1 and strip 2 is placed in magnetic field B2 , both along positive y -directions. Then V1 and V2 are the potential differences developed between K and M in strips 1 and 2 respectively. Assuming that the current I is the same for both strips, the correct option(s) is (are)

MEDIUM
JEE Advanced
IMPORTANT
A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinder is placed co-axially inside an infinite solenoid of radius 2R. The solenoid has n turns per unit length and carries a steady current I. Consider a point P at a distance r from the common axis. The correct statement(s) is(are):
MEDIUM
JEE Advanced
IMPORTANT
An α-particle (mass 4 amu) and a singly charged Sulphur ion (mass 32 amu) are initially at rest. They are accelerated through a potential V and then allowed to pass into a region of uniform magnetic field which is normal to the velocities of the particles. Within this region, the α-particle and the sulphur ion move in circular orbits of radii Rα and RS, respectively. The ratio RSRα is __________ .
HARD
JEE Advanced
IMPORTANT

A circular coil of radius R and N turns has negligible resistance. As shown in the schematic figure, its two ends are connected to two wires and it is hanging by those wires with its plane being vertical. The wires are connected to a capacitor with charge Q through a switch. The coil is in a horizontal uniform magnetic field Bo parallel to the plane of the coil. When the switch is closed, the capacitor gets discharged through the coil in a very short time. By the time the capacitor is discharged fully, magnitude of the angular momentum gained by the coil will be (assume that the discharge time is so short that the coil has hardly rotated during this time)

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HARD
JEE Advanced
IMPORTANT
Two identical moving coil galvanometer have 10 Ω resistance and full scale deflection at 2μA current. One of them is converted into a voltmeter of 100 mV full scale reading and the other into an Ammeter of 1 mA full scale current using appropriate resistors. These are then used to measure the voltage and current in the Ohm's law experiment with R=1000 Ω resistor by using an ideal cell. Which of the following statement(s) is/are correct?
MEDIUM
JEE Advanced
IMPORTANT
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?
HARD
JEE Advanced
IMPORTANT
In the xy - plane , the region y>0 has a uniform magnetic field B1k^ and the region y<0 has another uniform magnetic field B2k^. A positively charged particle is projected from the origin along the positive yaxis with speed v 0 =π m  s 1 at t=0, as shown in the figure. Neglect gravity in this problem. Let t=T be the time when the particle crosses the xaxis from below for the first time. If B 2 =4 B 1, the average speed of the particle, in m  s 1, along the xaxis in the time interval T is ________.

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