r roblems: Do any four: 4x15= 60 Show All Works 1 . A proton (mp = 1.67x 1027 kg

Question

r roblems: Do any four: 4x15= 60 Show All Works 1 . A proton (mp = 1.67x 1027 kg , qp = 1.61019 C) travels in a circle in a constant magnetic filed B. The magnitude of the field is 1.2 T and the radius of the circle is 4.5 cm. Determine the speed v of the proton. 2. A semi circular section of radius R and two straight sections of length L each are carrying a current i (on the plane of the paper). Given L=10 cm, R-8 cm and 1-35 mA. ction of the current is shown by arrows d the magnetic field B at P due to the straight current segments. b) Find the magnetic field B at P due to the semicircular segment. c) Find the magnitude of the net magnetic field B at P. d) Find the direction of the magnetic field B at P. m thick is placed in a magnetic field B of magnitude 0.65 T, and a 3 A strip of copper of 150 G.ox101C, for copper n-8.47x10" electrons/m2. 23 A sent through the strip. Find the Hall voltage across the strip. curren

Explanation / Answer

1) Here,

let the speed of the proton is v

mp = 1.67 *10^-27 Kg

q = 1.6 *10^-19 C

B = 1.2 T

r = 0.045 m

as r = m * v/(B * q)

0.045 = 1.67 * 10^-27 * v/(1.2 * 1.6 *10^-19)

solving for v

v = 5.17 *10^6 m/s

the speed of the proton is 5.17 *10^6 m/s

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