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Calculate the electric potential at the ...

Calculate the electric potential at the centre of a metallic ring with charge 0.02 `muC` made from a wire of length 12 cm.

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To calculate the electric potential at the center of a metallic ring with a charge of 0.02 µC and a wire length of 12 cm, we can follow these steps: ### Step 1: Determine the radius of the ring The length of the wire that forms the ring is equal to the circumference of the ring. The circumference \( C \) of a circle is given by the formula: \[ C = 2 \pi r \] where \( r \) is the radius. Given that the length of the wire is 12 cm, we can set up the equation: ...
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calculate the electric potential at point (15cm, 0, 0) if the ring is placed parallel to y-z plane with centre at the origin and metallic ring with charge 0.02 μC made from a wire of length 12 cm.

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Knowledge Check

  • The electric potential at the centre of a charged conductor is

    A
    zero
    B
    twice that of the surface
    C
    same as on the surface
    D
    none of these
  • The electric field at the centre of a uniformly charged ring is zero. What is the electric field and potential at the centre of a half ring if the charge on it be Q and its radius be R ?

    A
    `(1)/(4 pi epsilon_(0)) (Q)/(pi R^(2)) ,(1)/(4 pi epsilon_(0)) (Q)/(pi R)`
    B
    `(1)/(4 pi epsilon_(0)) (Q)/(R^(2)) ,(1)/(4 pi epsilon_(0)) (2Q)/(pi R)`
    C
    `(1)/(4 pi epsilon_(0)) (2Q)/(pi R^(2)) ,(1)/(4 pi epsilon_(0)) (Q)/(R)`
    D
    `(1)/(4 pi epsilon_(0)) (2Q)/( R^(2)) ,(1)/(4 pi epsilon_(0)) (3Q)/(pi R)`
  • The magnetic induction at the centre of a coil made from a wire of length 22 cm carrying a current of 0.5 A is

    A
    `8 xx 10^(-6) Wb//m^(2)`
    B
    `0.9 xx 10^(-6) Wb//m^(2)`
    C
    `9 xx 10^(-6) Wb//m`
    D
    `0.8 xx 10^(-6) Wb//m^(2)`
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    Calculate the potential at point (0, 7 cm) due to a point charge of 0.2 muC placed at (0, 2 cm).

    The sides of rectangle ABCD are 15 cm and 5 cm, as shown in figure. Point cahrges of -5muC and +2muC are placed at the vertices B and D respectively. Calculate electric potential at the vertices A and C. Also calculate the work done in carrying a charge of 3muC from A to C.

    Calculate the electric field intensity due to an electric dipole of length 10 cm having charges of 100 muC at a point 20 cm from each charge on equatorial line.

    A charge of 108 muC is given to a metallic spherical shell of radius1 m. (i) Calculate electric potential at the surface of the shell. (ii) Calculate electric potential at a point that is 0.1 m from the centre of the shell.