uestion 3 A 10 V battery of negligible internal resistance is used to charge a 5
ID: 1581077 • Letter: U
Question
uestion 3 A 10 V battery of negligible internal resistance is used to charge a 5 us. capacitor through a 75 resistor (i) Find the initial current at t = 0 seconds (ii) Find the final charge of the capacitor (iii) How long will it take to obtain half of the final charge of the capacitor? a. uestion 4 A particle of mass m-1.5x1025 kg and a charge q =-4.7x10-19 C is accelerated from rest in a plane (that's not visible in the figure) with a potential difference V-3 kV between two parallel plates The particle is then injected into a uniform magnetic field as shown in the figure. The magnetic field has a magnitude of B-0.3 T. The particle then has a semicircle trajectory with radius r before going back out of the field a. (i) what is the speed of the particle as it enters the magnetic field (ii)What is the radius r? How far did the particle travel in the magnetic field?Explanation / Answer
3. (a) (i) at t = 0, Vc = 0
V - Vc - IR = 0
12 - 0 - 75 I = 0
I = 0.16 A
(ii) finally, Vc = V = 10 Volt
Q= C V = 5uF x 10 V = 50 uC
(iii) Q = Q0 [1 - e^(-t/RC)]
0.5 Q0 = Q0 [1 -e^(-t/RC)]
- t /R C = ln(0.5)
t = - (75)(5 x 10^-6) ln(0.50)
t = 2.60 x 10^-4 sec
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