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An electron falls through a distance of 1.5 cm in a uniform electric field of magnitude 2.0 × 104 N C–1 [Fig. (a)]. The direction of the field is reversed keeping its magnitude unchanged and a proton falls through the same distance [Fig. (b)]. Compute the time of fall in each case. Contrast the situation with that of ‘free fall under
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Two charges ±10 µC are placed 5.0 mm apart. Determine the electric field at a point P on the axis of the dipole 15 cm away from its centre O on the side of the positive charge, as shown in Fig. ,
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Two charges ±10 µC are placed 5.0 mm apart. Determine the electric field at a point Q, 15 cm away from O on a line passing through O and normal to the axis of the dipole, as shown in fig.
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The electric field components in Fig. are Ex = αx 1/2 , Ey = Ez = 0, in which α = 800 N/C m1/2. Calculate the flux through the
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The electric field components in Fig. are Ex = αx 1/2 , Ey = Ez = 0, in which α = 800 N/C m1/2. Calculate the charge within the cube. Assume that a = 0.1
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An electric field is uniform, and in the positive x direction for positive x, and uniform with the same magnitude but in the negative x direction for negative x. It is given that E = 200 `hati` N/C for x > 0 and E = –200` hati` N/C for x < 0. A right circular cylinder of length 20 cm and radius 5 cm has its centre at the origin and its axis along the x-axis so that one face is at x = +10 cm and the other is at x = –10 cm (Fig. ).
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An electric field is uniform, and in the positive x direction for positive x, and uniform with the same magnitude but in the negative x direction for negative x. It is given that E = 200 `hati` N/C for x > 0 and E = –200` hati` N/C for x < 0. A right circular cylinder of length 20 cm and radius 5 cm has its centre at the origin and its axis along the x-axis so that one face is at x = +10 cm and the other is at x = –10 cm (Fig. ).
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An early model for an atom considered it to have a positively charged point nucleus of charge Ze, surrounded by a uniform density of negative charge up to a radius R. The atom as a whole is neutral. For this model, what is the electric field at a distance r from the
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What is the force between two small charged spheres having charges of 2 × 10–7C and 3 × 10–7C placed 30 cm apart in
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The electrostatic force on a small sphere of charge 0.4 µC due to another small sphere of charge –0.8 µC in air is 0.2 N. What is the distance between the two
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The electrostatic force on a small sphere of charge 0.4 µC due to another small sphere of charge –0.8 µC in air is 0.2 N. What is the force on the second sphere due to the
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Check that the ratio `(ke^2 )/(G m_e m_p)` is dimensionless. Look up a Table of Physical Constants and determine the value of this ratio. What does the ratio
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(i) Explain the meaning of the statement ‘electric charge of a body is quantised’.(ii) Why can one ignore quantisation of electric charge when dealing with macroscopic i.e., large scale
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When a glass rod is rubbed with a silk cloth, charges appear on both. A similar phenomenon is observed with many other pairs of bodies. Explain how this observation is consistent with the law of conservation of
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Four point charges qA = 2 µC, qB = –5 µC, qC = 2 µC, and qD = –5 µC are located at the corners of a square ABCD of side 10 cm. What is the force on a charge of 1 µC placed at the centre of the
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An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why
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Explain why two field lines never cross each other at any
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Two point charges qA = 3 µC and qB = –3 µC are located 20 cm apart in vacuum. (i) What is the electric field at the midpoint O of the line AB joining the two charges?(ii) If a negative test charge of magnitude 1.5 × 10–9 C is placed at this point, what is the force experienced by the test
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A system has two charges qA = 2.5 × 10–7 C and qB = –2.5 × 10–7 C located at points A: (0, 0, –15 cm) and B: (0,0, +15 cm), respectively. What are the total charge and electric dipole moment of the
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An electric dipole with dipole moment 4 × 10–9 C m is aligned at 30° with the direction of a uniform electric field of magnitude 5 × 104 NC–1 . Calculate the magnitude of the torque acting on the
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