4) (10 points). An electron travels at a speed of 2.9x10 m/s in a plane perpendi

Question

4) (10 points). An electron travels at a speed of 2.9x10 m/s in a plane perpendicular to a uniform 0.05 T magnetic field. Describe the electron path. Find the radius of the curvature of the electron path 5) (20 points). Two What is the electric current through each resistor in (a) and (b)? What is the equivalent total resistance of each circuit? resistors, R,-100 , and R-50 2, are connected (a) in parallel, and (b) in series, to a 36 V battery . 6) (10 points), What is the internal resistance of a 12 V car battery whose terminal voltage drops to 10.1 V when starter draws 25 A? What is the resistance of the starter? the

Explanation / Answer

4) Fb = m a_c

q v B = m v^2 / r

r = m v / q B

r = (9.109 x 10^-31)(2.9 x 10^7) / (1.6 x 10^-19 x 0.05)

r = 3.30 x 10^-3 m OR 3.30 mm

5) (a) I1 = e / R1 = 36/100 = 0.36 A

I2 = 36/50 = 0.72 A

(B) I1 = I2 = 36/(100 + 50) = 0.24 A

equivalent resistane,

Ra = R1 R2 / (R1 + R2) = 33.33 ohm

Rb = R1 + R2 = 150 ohm

6) V = e - I r

10.1 = 12 - 25r
r = 0.076 ohm

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