In the diagram below each unit on the horizontal axis is 1.00 cm and each unit o

Question

In the diagram below each unit on the horizontal axis is 1.00 cm and each unit on the vertical axis is 3.00 cm. The equipotential lines in a region of uniform electric field are indicated by the blue lines.

Determine the magnitude of the electric field in this region. _______V/m

Determine the shortest distance for which the change in potential is 3 V. _______ mm

PART TWO:

Suppose you want a capacitor bank with a total capacitance of at least 1.694 F and you possess numerous 4.23 mF capacitors.

(a) What is the smallest number you could hook together to achieve your goal? (Enter the smallest possible whole number of capacitors.)

Explanation / Answer

a)

here , for the slope of field lines

theta = arctan(3/1)

theta = 71.6 degree

electric field , E = (change in potential)/perpendicular distance

E = (12 - 6) /(0.01 * sin(71.6))

E = 632 N/C

the magnitude of electric field is 632 V/m

for the shortest distance

E * d = potential

3 = d * 632

d = 0.047 m = 0.47 cm

the shortest distance between points will be 0.47 cm

part TWO:

let the number of 4.23 mF capacitors will be n

for capacitors in parallel

n * C = Ceq

n * 4.23 *10^-3 = 1.694

n = 400.5 = 401

number of capacitors needed is 401

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