Electricity and Magnetism Answers

1. what is the magnitude of the force on a charge of +2×10^-7 C that is 0.3 from a charge of -5×10^{-7 C?}

A proton experiences an eastward force of 30 × N while traveling in a magnetic field of 5 × T north. 

1. Find the magnitude of the proton’s velocity
2. State the direction of the proton’s velocity 
3. Draw the proton and indicate the directions of all three vectors using the appropriate notation as shown in the table above

A proton experiences an eastward force of 30 × N while traveling in a magnetic field of 5 × T north. 

1. Find the magnitude of the proton’s velocity
2. State the direction of the proton’s velocity 
3. Draw the proton and indicate the directions of all three vectors using the appropriate notation as shown in the table above

Consider the surface charge density ρs = 14 µC/m2 distributed on the interface of two dielectric

media. The permittivity of medium 1 is ɛ1 = 3 and of medium 2 is ɛ2 = 2. Now consider that the

magnitude of the static electric field E1 at a point P1 in medium 1 makes an angle θ1 with the normal

and will propagate in medium 2. Determine the magnitude and direction of the transmitted electric

field intensity at point P2 (adjacent to the point P1 but in medium 2) in medium 2. Next revert the

permittivity of the mediums (ɛ1 = 2 and ɛ2 = 3) and again find out the magnitude and angle. Please

analyse the two results.

Consider the electric field 𝐸 = 𝑎𝑟

𝑟𝜌𝑙

4𝜋𝜖0

∫

𝑑𝑧

′

(𝑟

2+𝑧′

2)

3/2

+∞

−∞

due to the uniform line charge density ρl

= 12 µC/m of an infinitely long straight conducting wire at a distance r. Find out the numeric value of 

r. Remember that prime variables corresponds to the source quantity.

A proton experiences an eastward force of 30 ×  N while traveling in a magnetic field of 5 ×  T north. 

1. Find the magnitude of the proton’s velocity
2. State the direction of the proton’s velocity 
3. Draw the proton and indicate the directions of all three vectors using the appropriate notation as shown in the table above

Electric field at point p(2m,1m,2m) due to a point charge 5.0 muC placed at origin is

Find the force on an electron if it is placed at a point where the electric field intensity is 240 N/C directed to the right.

A positive test charge of 5.00 E-5 C is placed in an electric field. The force on it is 0.751 N. The magnitude of the electric field at the location of the test charge is

Determine the permittivity of a dielectric within a capacitor stores 60 Mf worth or charge has an area of 0.5 m² for each plate and 2.0 X 10^-⁴ m apart.