An electron is moving in a circular path under theinfluence of a transverse magnetic field of 3.57 × 10–2 T. If the value of e/m is 1.76 × 1011 C/kg, the frequency of revolution ofthe electron is…[NEET II-2016]

A 250-Turn rectangular coil of length 2.1 cm andwidth 1.25 cm carries a current of 85 μA and subjected to a magnetic field of strength 0.85 T.Work done for rotating the coil by 180° against the torque is [ NEET 207]

An arrangement of three parallel straight wiresplaced perpendicular to plane of paper carrying samecurrent ‘I’ along the same direction is shown in Fig.Magnitude of force per unit length on the middle wire‘B’ is given by…[ NEET 2017]

A particle of mass M and positive charge Q, moving with a constant velocity u1 =4(i ) m/s2, enters a region of uniform static magnetic field normal to the x-y plane.The region of the magnetic field extends from x = 0 to x = L for all values of y. Afterpassing through this region, the particle emerges on the other side after 10 millisecondswith a velocity The correct statement(s) is (are)

A steady current I flows along an infinitely long hollow cylindrical conductor of radius R.This cylinder is placed coaxially inside an infinite solenoid of radius 2R. The solenoid hasn turns per unit length and carries a steady current I. Consider a point P at a distance rfrom the common axis. The correct statement(s) is (are)…[ IIT advance 2013]

Paragraph The figure shows a circular loop of radius a withtwo long parallel wires (numbered 1 and 2) all inthe plane of the paper. The distance of each wirefrom the centre of the loop is d. The loop and thewires are carrying the same current I. The currentin the loop is in the counterclockwise direction ifseen from above. Q338A) When d ≈ a but wires are not touching the loop, it is found that the net magnetic field onthe axis of the loop is zero at a height h above the loop. In that case

Consider d >> a, and the loop is rotated about its diameter parallel to the wires by 30° from the position shown in the figure. If the currents in the wires are in the oppositedirections, the torque on the loop at its new position will be (assume that the net field dueto the wires is constant over the loop)

Four charges Q1, Q2, Q3 and Q4 of same magnitude are fixed along the x axis at x = −2a,−a, +a and +2a, respectively. A positive charge q is placed on the positive y axis at adistance b >Four options of the signs of these charges are given in List I. The directionof the forces on the charge q is given in List II. Match List I with List II and select thecorrect answer using the code given below the lists. Code :

List I	List II
P. Q1, Q2, Q3, Q4 all positive	+x
Q. Q1, Q2 positive; Q3, Q4 negative	−x
R. Q1, Q4 positive; Q2, Q3 negative	+y
S. Q1, Q3 positive; Q2, Q4 negative	−y

A conductor (show in the figure) carrying constant current I is kept in the x-y plane in auniform magnetic field B. If F is the magnitude of the total magnetic force acting on theconductor, then the correct statement(s)is(are) …[IIT Advance 2015]

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 the positive y-direction. Due to this, the charge carriers experience a net deflection along the z-direction. This results in accumulation of charge carriers on the surface PQRS and appearance of equal and 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. Q342A) 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)

A conducting loop in the shape of a right angled isosceles triangle of height 10 cm is kept such that the 90° vertex is very close to an infinitely long conducting wire (see the figure). The wire is electrically insulated from the loop. The hypotenuse of the triangle is parallel to the wire. The current in the triangular loop is in counterclockwise direction and increased at a constant rate of 10 A s-Which of the following statement(s) is(are) true?

Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers RC < R/2, which of the following statement(s) about any one of the galvanometers is(are) true? ..[ IIT Advance 2016]

A, Q.345B and Q.345C by appropriately matching the information given in the three columns of the following table. Q345 )A charged particle (electron or proton) is introduced at the origin (x = 0, y = 0, z = 0) with a given initial velocity v. A uniform electric field (E ) and a uniform magnetic field B exist everywhere. The velocity v , electric field E and magnetic field B are given in column 1, 2 and 3, respectively. The quantities E0, B0 are positive in magnitude Q345A . In which case will the particle move in a straight line with constant velocity ?

column 1	column 2	column 3
(I) Electron with	(i) E =E0 z	(P)B = -B0 x
(II) Electron with	(ii)E = -E0 y	(Q) B =B0x
(III) Proton with v = 0	(iii) E = -E0 x	(R) B = B0y
(IV) Proton with	(iv) E = E0 x	(S) B =B0 z

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 … [ IIT Advance2017]

) A uniform magnetic field B exists in the region between x = 0 and x = 3R/2 (region 2 in the figure) pointing normally into the plane of the paper. A particle with charge +Q and momentum p directed along x-axis enters region 2 from region 1 at point P1(y = –R). Which of the following options(s) is/are correct ? [ IIT Advance 2017]