Electricity and Magnetism Answers

An amount of charge is distributed uniformly throughout a spherical shell that has a diameter 0.52m. At the center, there is a point charge q = 70 μC. Find the electric field outside the shell.

An infinitely long line of charge carries 75 pC along each 1 meter of length. Find the electric field 0.40 m from the line of charge.

Two point charges are located on the x-axis of a coordinate system: 𝑞_1 =-1.5 𝑛𝐶 is at 𝑥 = +4.0 𝑐𝑚, and 𝑞_2=−3.5 𝑛𝐶 is at 𝑥 = +2.0 𝑐𝑚. What is the total electric force exerted by 𝑞_1 and 𝑞_2 on a 𝑞_3= 2.0 𝑛𝐶 at 𝑥 = +3 cm?

Force between two point charges: Two point charges,

and , are separated by a distance

(Refer to the figure below). Find the magnitude

and direction of the electric force (a) that exerts on and (b)

that exerts on .

1. Calculate the magnitude and direction of the electric field 0.50m from a +8.23^-9C point charge.

2. An electric field dipole consists of two equal but unlike charges separated by a distance. Two point charges, q1=+2.3×10^-6C and q2=3.4×10^-6, are separated by 8.9×10^-2m, forming an electric dipole. Find the electric field halfway between the dipole.

1. Compute for the amount of charge (q) of a 15 V battery with -45 J potential energy
2. A metal sphere has 5x10^-9C static charge. Compute the voltage if the radius is equal to 0.05m. (k=8.99 x 10^9 N.m^2/C^2
3. Find the Total capacitance of the three given capacitors in series connection, given their individual capacitances, 4.0 μF, 15.0 μF.
4. Find the net capacitance of the three given capacitors connected in parallel, given their individual capacitances, 2.0 μF, 5.0, μF, 8.0 μF.
5. A parallel plate capacitor was placed 0.002 m apart. Compute for the capacitance if the area each plate is equal to 0.025 m^2. (ε0 = 8.85x10^-12 F/m)

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A charge of 6µC exerts a force of 2.4 x 10-4 N in the right side of a positive test charge. What is the magnitude and direction of the electric field at the location of the test charge?

Two charges repel each other with a force of when they are 10cm apart. When they are brought closer together to 2cm apart, the force between them becomes

In a rectangular coordinate system a positive point charge q = +6.00 nC is placed at point x = +1.50 m, y = 0 m, and an identical charge is placed at x = -1.50 m, y = 0 m, Find the x- and y-components, the magnitude, and the direction of the electric field at x = 0, y = 0.200 m.

Two equally charged particles are held 3.2×10-3 m apart and then released from rest. The initial acceleration of the first particle is observed to be 7.0 m/s2 and that of the second to be 9.0 m/s2. If the mass of the first particle is 6.3 x l0-7 kg, what are (a) the mass of the second particle and (b) the magnitude of the charge of each particle