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Fig. represents a crystal unit of cesium chloride, CsCl. The cesium atoms, represented by open circles are situated at the corners of a cube of side 0.40nm, whereas a Cl atom is situated at the centre of the cube. The Cs atoms are deficient in one electron while the Cl atom carries an excess electron.(a) What is the net electric field on the Cl atom due to eight Cs atoms?(b) Suppose that the Cs atom at the corner A is missing. What is the net force now on the Cl atom due to seven remaining Cs
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Two charges q and –3q are placed fixed on x-axis separated by distance ‘d’. Where should a third charge 2q be placed such that it will not experience any
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Fig. shows the electric field lines around three point charges A, B and C. (a) Which charges are positive? (b) Which charge has the largest magnitude?
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Fig. shows the electric field lines around three point charges A, B and C. In which region or regions of the picture could the electric field be zero? Justify your answer. (i) near A, (ii) near B, (iii) near C, (iv)
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Five charges, q each are placed at the corners of a regular pentagon of side ‘a’ (Fig.).
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Consider a sphere of radius R with charge density distributed as ρ (r ) = ≤ kr r R for = > 0 for r R .(a) Find the electric field at all points r.(b) Suppose the total charge on the sphere is 2e where e is the electron charge. Where can two protons be embedded such that the force on each of them is zero. Assume that the introduction of the proton does not alter the negative charge
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Consider a sphere of radius R with charge density distributed as `ρ (r ) = kr ' for ' r le R` `ρ (r ) =0 ' for ' r > R` . (i) Find the electric field at all points r.(ii) Suppose the total charge on the sphere is 2e where e is the electron charge. Where can two protons be embedded such that the force on each of them is zero. Assume that the introduction of the proton does not alter the negative charge
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Two fixed, identical conducting plates (α & β ) , each of surface area S are charged to –Q and q, respectively, whereQ > q > 0. A third identical plate (γ ), free to move is located on the other side of the plate with charge q at a distance d (Fig ). The third plate is released and collides with the plate β . Assume the collision is elastic and the time of collision is sufficient to redistribute charge amongst β & γ . (i) Find the electric field acting on the plate γ before collision.(ii)
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There is another useful system of units, besides the SI/mks A system, called the cgs (centimeter-gram-second) system. In this system Coloumb’s law is given by`F=(Qq)/r^2 hatr` where the distance r is measured in cm (= 10–2 m), F in dynes (=10–5 N) and the charges in electrostatic units (es units), where 1es unit of charge =`1/[3] ×10^(-9)`The number [3] actually arises from the speed of light in vaccum which is now taken to be exactly given by c = 2.99792458 × 108 m/s. An approximate value of c then is c = [3] × 108 m/s. (i)
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Two charges –q each are fixed separated by distance 2d. A third charge q of mass m placed at the mid-point is displaced slightly by x (x << d) perpendicular to the line joining the two fixed charged as shown in Fig. . Show that q will perform simple harmonic oscillation of time period..
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Total charge –Q is uniformly spread along length of a ring of radius R. A small test charge +q of mass m is kept at the centre of the ring and is given a gentle push along the axis of the ring. (i) Show that the particle executes a simple harmonic oscillation.(ii) Obtain its time
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A positive charge Q is uniformly distributed along a circular ring of radius R. A small test charge q is placed at the centre of the ring as shown in then
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A square of side L meters lies in the x-y plane in a region, where the magnetic field is given by `B =B_o (2hati + 3hatj + 4hatk)` where Bo is constant. The magnitude of flux passing through the square
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A loop, made of straight edges has six corners at A(0,0,0), B(L,O,0) C(L,L,0), D(0,L,0) E(0,L,L) and F(0,0,L). A magnetic field ` B=B_o( hati +hat k)T` is present in the region. The flux passing through the loop ABCDEFA (in that order)
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A cylindrical bar magnet is rotated about its axis (Fig ). A wire is connected from the axis and is made to touch the cylindrical surface through a contact.
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There are two coils A and B as shown in Fig A current starts flowing in B as shown, when A is moved towards B and stops when A stops moving. The current in A is counterclockwise. B is kept stationary when A moves. We can infer
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Same as problem 4 except the coil A is made to rotate about a vertical axis (Fig ). No current flows in B if A is at rest. The current in coil A, when the current in B (at t = 0) is counterclockwise and the coil A is as shown at this instant, t = 0,
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The self inductance L of a solenoid of length l and area of crosssection A, with a fixed number of turns N increases
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A metal plate is getting heated. It can be
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An e.m.f is produced in a coil, which is not connected to an external voltage source. This can be due
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