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A proton moves with a speed of `7.45×10^5 m'/'s` directly towards a free proton originally at rest. Find the distance of closest approach for the two protons. Given : `1/(4pi epsilon_0)= 9×10^9 (N-m)^2/c^2 ; m_p=1.67×10^(–27) kg and e = 1.6×10^(–19)
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A system has two charges `q_A=2.5×10^(–7) C and q_B = – 2.5 × 10^(–7) C` located at points `A: (0, 0, – 0.15 m) and B ; (0, 0, + 0.15 m)` respectively. What is the total charge and electric dipole moment of the
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A short electric dipole is situated at the origin of coordinate axis with its axis along x–axis and equator along y–axis. It is found that the magnitudes of the electric intensity and electric potential due to the dipole are equal at a point distant `r=sqrt5 m` from origin. Find the position vector of the point in first
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Prove that the frequency of oscillation of an electric dipole of moment p and rotational inertia I for small amplitudes about its equilibrium position in a uniform electric field strength E is `1/(2pi)
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Brass has a tensile strength `3.5 × 10^8 N'/'m^2` . What charge density on this material will be enough to break it by electrostatic force of repulsion? How many excess electrons per square Å will there then be? What is the value of intensity just out side the
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Prove that if an isolated (isolated means no charges are near the sheet) large conducting sheet is given a charge then the charge distributes equally on its two
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If an isolated infinite sheet contains charge `Q_1` on its one surface and charge `Q_2` on its other surface then prove that electric field intensity at a point in front of sheet will be `Q/(2Aepsilon_0)`, where `Q=
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Three large conducting sheets placed parallel to each other at finite distance contains charges `Q, –2Q and 3Q` respectively. Find electric field at points `A, B , C, and
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Two conducting plates A and B are placed parallel to each other. A is given a charge `Q_1 and B` a charge `Q_2` . Prove that the charges on the inner facing surfaces are of equal magnitude and opposite sign. Also find the charges on inner & outer
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Figure shows three large metallic plates with charges `– Q, 3Q and Q` respectively. Determine the final charges on all the
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An isolated conducting sheet of area A and carrying a charge Q is placed in a uniform electric field E, such that electric field is perpendicular to sheet and covers all the sheet. Find out charges appearing on its two surfaces.
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An uncharged conductor of inner radius `R_1` and outer radius `R_2` contains a point charge q at the centre as shown in figure.(i) Find `vecE and V` at points `A,B and C`.(ii) If a point charge Q is kept out side the sphere at a distance `‘r’ ( > > R_2)` from centre then find out resultant force on charge Q and charge
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An uncharged conductor of inner radius `R_1` and outer radius `R_2` contains a point charge q placed at point P (not at the centre) as shown in figure? Find out the following :(i) `V_C` (ii) `V_A` (iii) `V_B` (iv) `E_A` (v) `E_B` (vi) force on charge Q if it is placed at
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The two conducting spherical shells are joined by a conducting wire and cut after some time when charge stops flowing.Find out the charge on each sphere after
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Find charge on each spherical shell after joining the inner most shell and 1 outer most shell by a conducting wire. Also find charges on each
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Two conducting hollow spherical shells of radii `R and 2R` carry charges – Q and 3Q`` respectively. How much charge will flow into the earth if inner shell is grounded
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An isolated conducting sphere of charge Q and radius R is connected to a similar uncharged sphere (kept at a large distance) by using a high resistance wire. After a long time what is the amount of heat loss
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For a spherically symmetrical charge distribution, electric field at a distance r from the centre of sphere is `vecE=kr^7hatr`, where k is a constant. What will be the volume charge density at a distance r from the centre of sphere
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Two positrons `(e^+)` and two protons (p) are kept on four corners of a square of side a as shown in figure. The mass of proton is much larger than the mass of positron. Let q denotes the charge on the proton as well as the positron then the kinetic energies of one of the positrons and one of the protons respectively after a very long time will
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Four charges are placed at the circumference of a dial clock as shown in figure. If the clock has only hour hand, then the resultant force on a charge `q_0` placed at the centre, points in the direction which shows the time as
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