Acharge of 3.20 μc is held fixed at the origin. a second charge of 3.20 μc is released from rest at the position (1.25 m, 0.570 m). a) if the mass of the second charge is 2.63 g , what is its speed when it moves infinitely far from the origin? (m/s)
b) at what distance from the origin does the second charge attain half the speed it will have at infinity? (m)

Explanation:

Distance of second charge from origin d

d =

= 1.374 m

electric potential energy of system of charge

= 9 x 10⁹ x 3.2 x 3.2 x 10⁻¹² / 1.374

67.07 x 10⁻³ J

This energy will be converted into kinetic energy

1/2 x m v² = 67 x 10⁻³

v² = 2 x 67 x 10⁻³ / m

= 2 x 67 x 10⁻³/ 2.63 x 10⁻³

v = 7.13 m /s

b ) kinetic energy at this point = 67/4 x 10⁻³

= 16.75 x 10⁻³

Potential energy = 67x10⁻³ - 16.75 x 10⁻³ = 50.75  x 10⁻³

If r be the required distance

9 x 10⁹ x 3.2 x 3.2 x 10⁻¹² / r = 50.75 x 10⁻³

r = 1.87 m

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

answercollision;