Final. Spring 201S CSI. Physics 160. Choose and solve ONLY 10 problems. You shou

Question

Final. Spring 201S CSI. Physics 160. Choose and solve ONLY 10 problems. You should clearly explain every step of your solution. Two particles with charges of 2 mu C and -5mu ? are positioned along x-axis ax coordinates Om and 2m respectively Find a magnitude and direction of electric field at the position x=5m. Find the total electric flux from a cylinder (radius 2m, height 3m), which has a particle with a charge ot 4 mu ? positioned somewhere inside. Calculate the work needed to bring an electron from infinity to a sphere of 1 cm radius with -10 v potential. You want to make 5 mu ? capacitor. You use a dielectric with a dielectric constant K = 16. Distance between plate 4mm. Find the area of the plates. A 1.5V battery Is connected to a 100 Ohm resistor. How many electrons leave the battery per bout? How many 10 mu ? capacitors must be connected in series to give an equivalent capacitance to ten 5 mu capa connected in parallel. A particle with mass m= 6.6 Time 10-27 kg and charge = q = +2e is moving in a magnetic field. It has a spiral with a radius of 30 cm. the magnitude of the magnetic field is 0.5 T. find the component of the velocity particle which is perpendicular to the magnetic field. two long wires carrying current of 0.2 A cross x- axis at coordinates Om and 2m respectively . The first

Explanation / Answer

1. E = E1 - E2

= k q1 / r12 - k q2 / r22

= 9 x 109 * 2 x 10-6 / (2 + 5)2 - 9 x 109 * (-5 x 10-6 ) / (5)2

= 2.167 x 103 N/C

Towards the positive x-axis.

2. Electric flux inside the cylinder @ = q / eo = 4 * pi * k * q ( where k = 1 / (4 * pi * eo))

= 4 * 3.14 * 9 x 109 * 4 x 10-6

= 4.5216 x 105 N-m2/C

3. workdone = q (V2 - V1)

= - 1.6 x 10-19 * (-10 V)

= 1.6 x 10-18 J

4. Capacitance of capacitor C = k eo A / d

==> A = C * d / k eo

= 5 x 10-6 * 4 x 10-3 / 16 * 8.85 x 10-12

= 141.24 m2

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