Exam 20: Electric Potential and Capacitance

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Identical 8.0- μ\mu C point charges are positioned on the x axis at x = ±\pm 1.0 m and released from rest simultaneously.What is the kinetic energy of either of the charges after it has moved 2.0 m?

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Three identical point charges (+2.0 nC)are placed at the corners of an equilateral triangle with sides of 2.0-m length.If the electric potential is taken to be zero at infinity,what is the potential at the midpoint of any one of the sides of the triangle?

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Two particles,each having a mass of 3.0 μ\mu g and having equal but opposite charges of magnitude 5.0 nC,are released simultaneously from rest when the two are 5.0 cm apart.What is the speed of either particle at the instant when the two are separated by 2.0 cm?

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A charge of uniform density (0.80 nC/m)is distributed along the x axis from the origin to the point x = 10 cm.What is the electric potential (relative to zero at infinity)at a point,x = 18 cm,on the x axis?

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A charge of +3.0 ±\pm C is distributed uniformly along the circumference of a circle with a radius of 20 cm.How much external energy is required to bring a charge of 25 ±\pm C from infinity to the center of the circle?

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What is the potential difference across C2 when C1 = 5.0 μ\mu F,C2 = 15 μ\mu F,C3 = 30 μ\mu F,and V0 = 24 V?  What is the potential difference across C<sub>2</sub> when C<sub>1</sub> = 5.0  \mu F,C<sub>2</sub> = 15  \mu F,C<sub>3</sub> = 30  \mu F,and V<sub>0</sub> = 24 V?

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If C = 10 μ\mu F,what is the equivalent capacitance for the combination shown?  If C = 10  \mu F,what is the equivalent capacitance for the combination shown?

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In the Bohr model of the hydrogen atom,the electron circles the proton at a distance of 0.529 *10 - 10 m.Find the potential at the position of the electron.

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A charge of 20 nC is distributed uniformly along the x axis from x = -2.0 m to x = +2.0 m.What is the electric potential (relative to zero at infinity)at the point x = 5.0 m on the x axis?

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How much electrical charge is needed to raise an isolated metal sphere of radius 1.0 m to a potential of 1.0 *106 V?

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For the potential V=3x2z−2yz3V = 3 x ^ { 2 } z - 2 y z ^ { 3 } ,what is the corresponding electric field at the point (2,2,2)?

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When a capacitor has a charge of magnitude 80 μ\mu C on each plate the potential difference across the plates is 16 V.How much energy is stored in this capacitor when the potential difference across its plates is 42 V?

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An electron (m = 9.1 *10 - 31 kg,q = -1.6*10 - 19 C)starts from rest at point A and has a speed of 5.0 *106 m/s at point B.Only electric forces act on it during this motion.Determine the electric potential difference VA -VB.

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An electric dipole having dipole moment of magnitude p is placed in a uniform electric field having magnitude E.What is the magnitude of the greatest change in potential energy that can happen for this dipole in this field?

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Point charges of equal magnitudes (25 nC)and opposite signs are placed on (diagonally)opposite corners of a 60-cm *80-cm rectangle.If point A is the corner of this rectangle nearest the positive charge and point B is located at the intersection of the diagonals of the rectangle,determine the potential difference,VB -VA.

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Determine the energy stored by C4 when C1 = 20 μ\mu F,C2 = 10 μ\mu F,C3 = 14 μ\mu F,C4 = 30 μ\mu F,and V0 = 45 V.  Determine the energy stored by C<sub>4</sub> when C<sub>1</sub> = 20  \mu F,C<sub>2</sub> = 10  \mu F,C<sub>3</sub> = 14  \mu F,C<sub>4</sub> = 30  \mu F,and V<sub>0</sub> = 45 V.

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The electric potential at the surface of a charged conductor

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The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a0 = 0.529 * 10 - 10 m.The electric potential created by the proton at the position of the electron is

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Charge of uniform density (3.5 nC/m)is distributed along the circular arc shown.Determine the electric potential (relative to zero at infinity)at point P. Charge of uniform density (3.5 nC/m)is distributed along the circular arc shown.Determine the electric potential (relative to zero at infinity)at point P.

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Two particles,each having a mass of 3.0 μ\mu g and having equal but opposite charges of magnitude of 6.0 nC,are released simultaneously from rest when they are a very large distance apart.What distance separates the two at the instant when each has a speed of 5.0 m/s?

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