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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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If a plastic rod rubbed with fur is made to touch two small pith balls suspended nearby, then which figure shows their final
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A comb runs through one’s dry hair attracts small bits of paper. This happens
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One metallic sphere A is given positive charge whereas another identical metallic sphere B of exactly same mass as of A is given equal amount of negative charge.
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In nature, the electric charge of any system is always equal
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If the charge on the body is `1 nC`, then how many electrons are present on the
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Charge on a body is `q_1` and it is used to charge another body by induction. Charge on second body is found to be `q_2` after charging,
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Force (F ) between two charges varies with distance (r) between them
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The unit of electrical permittivity
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The force of interaction between two charges `q_1 = 6 muC and q_2= 2 muC` is `12 N`. If charge `q =-2 muC` is added to each of the charges, then the new force of interaction
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