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1. (a) A charged particle of charge q mass m, moving at velocity to enters a region
of uniform magnetic field B perpendicular to its velocity. Describe its motion,
what will be the radius of its orbit?
(b)In part (a), in the region of the magnetic field an electric field is applied such
that the particle keeps moving at constant velocity. Determine direction and the
magnitude of the electric field.
2. Consider two infinitely long straight parallel wires, at a distance d from each
other carrying currents i, and is respectively, in the same direction.
(a)Determine the direction and the magnitude of the force acting on a portion
of the (1) first wire of length L, (ii) second wire of length L.
(b) Evaluate your result for i=1.0A, 2-2.0A, d=1cm and L=10cm.
(Note:p 4T 10- Tm/A)
3. Consider a circuit consisting of a capacitor and resistors as shown in the figure.
The capacitor initially has zero charge. The switch is closed.
Determine the current i (i)right after the switch is closed, (ii) after waiting for
a sufficiently long time so the capacitor is fully charged.
B
E
O
VO
Fig: Q1
S
w
Fig G3
Fiy Q2
R₂
Transcribed Image Text:1. (a) A charged particle of charge q mass m, moving at velocity to enters a region of uniform magnetic field B perpendicular to its velocity. Describe its motion, what will be the radius of its orbit? (b)In part (a), in the region of the magnetic field an electric field is applied such that the particle keeps moving at constant velocity. Determine direction and the magnitude of the electric field. 2. Consider two infinitely long straight parallel wires, at a distance d from each other carrying currents i, and is respectively, in the same direction. (a)Determine the direction and the magnitude of the force acting on a portion of the (1) first wire of length L, (ii) second wire of length L. (b) Evaluate your result for i=1.0A, 2-2.0A, d=1cm and L=10cm. (Note:p 4T 10- Tm/A) 3. Consider a circuit consisting of a capacitor and resistors as shown in the figure. The capacitor initially has zero charge. The switch is closed. Determine the current i (i)right after the switch is closed, (ii) after waiting for a sufficiently long time so the capacitor is fully charged. B E O VO Fig: Q1 S w Fig G3 Fiy Q2 R₂
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