Electricity and Magnetism Answers

Four point charges are positioned as such: A(0,1), B(2,1), C(0,0), D(2,0). Charge A = -3 microcoulombs, Charge B = 3 microcoulombs, C = 2 microcoulombs, and D = -2 microcoulombs. What is the net electric field experienced at the origin.

11– 20. A hydrogen atom consists of a single proton and a single

electron. The proton has a charge of +e and the

electron has −e. In the “ground state” of the atom, the electron orbits

the proton at most probable distance of

7.48 × 10−11 m (as shown in the figure below). Calculate the electric

force on the electron due to the proton?

Three capacitors of capacitances C1 = 15 μF, C2 = 30 μF, and C3 = 45μF were connected in series to a potential difference V. Find the equivalent capacitance of the three capacitors.

Determine the capacitance of a spherical air-filled capacitor of radius, 𝑅_1 = 2.5 c𝑚 and 𝑅_2= 0.45 d𝑚.

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 .