Please provide solutions to problems 28.22 and 28.32

Please solve and show solutions for these problems, thank you.

Potential Drop

Ten spherical mercury drops of equal size r carry the same charge q each. They join into one big drop. Derive the expression for potential of this drop.

Electric field

1. Three long, parallel conductors carry currents of I = 2 A. If a = 1 cm, determine the magnitude and direction of the magnetic field at points A, B, and C. (see diagram in attached file)

Direction of magnetic force

In this problem i am not sure if you can just use the right hand screw rule The cube is 40 cm on each edge. Four straight segments of wire - ab, bc, cd, and da - form a closed loop that carries a current I = 5 A, in the direction shown. The loop is placed in a uniform magnetic field of magnitude B = 0.020 T in the positive y ...continues

A parallel plate capacitor with plates of area A and plate separation

A parallel plate capacitor with plates of area A and plate separation d has the region between the plates filled with two dielectric materials (ε1 and ε2) as shown in the figure. Determine the capacitance and show that when ε1= ε2= ε your result becomes the same as that for a capacitor containing a singl ...continues

Resonance

I know that in order to have resonance XL=XC but i don't know how to calculate the Q- factor see attached problem. (See attached file for full problem description with equations) --- 1. The Q-factor of a resonance circuit is defined as the ratio of the voltage across the capacitor (or inductor) to the voltage across the r ...continues

Electromagnetic wave

Suppose a plane electromagnetic wave has a wavelength of 50 m and the electric field vibrates with an amplitude of 22 V/m. Calculate the frequency of the wave, the amplitude of B. Write an expression for B in a the form B=Bo cos(kx-w(omega)t) with numerical values for B0, k, and ω.

Electricity and Magnetism (Ampere's Law)

1. The long, straight wire AB shown in Figure (Please see the attached file) carries a current of 14 A. The rectangular loop whose long edges are parallel to the wire carries a current of 5 A. Find the magnitude and direction of the net force exerted on the loop by the magnetic field of the wire. 2. A long straight solid cyli ...continues

Problem 22.58 : A nonuniform spherical charge distribution is given - to determine total charge and electric field intensity in different regions. Problem 23.40 : Electric field at the surface of a charged copper sphere is given. To determine the potential at the centre. Problem 27.86 : A current carrying circular loop placed in a magnetic field is given. To determine torque.

See attached files for full problem description.

Problem 2.3 from Chapter 2, Introduction to Electrodynamics, 3rd edition, David J. Griffiths

Problem 2.3 from Chapter 2, Introduction to Electrodynamics, 3rd edition, David J. Griffiths See attached for full problem description.