Answers must include proper units. Be sure to check calculator use for scientifi

Question

Answers must include proper units. Be sure to check calculator use for scientific notation You have 4 equal point charges, say 5.00 MuC, at the four corners of square (x, y)=(1, 1), (1, -1), (-1, 1) AND (1, -1). All coordinates are in cm. What is the electric field at the center of this array of charges? Magnitude Units direction You place a point charge of 5.00 MuC at y=20.0 cm at y=20.0 cm and a point charge of -5.00 MuC at y=-20.0 cm. Both charges are on the y axis. What is the electric potential at the origin? Units How much work was done to bring the charges to their current position? Units Is the work + or-? Consider a capacitor composed of 1 cm^2 plates separated by a layer of mica 0,02 cm thick. You connect the capacitor to a 90 volt battery. What would the electric field between the plates be if the plates were separated by vacuum Units Suppose the dielectric constant for mica to be 6. What then is the Electric field then between the plates Units What is the capacitance of the mica filled capacitor? Units Now consider the global capacitance. Treat the earth as a sphere of 4000 km radius, at a distance of 50 km from the ground potential. If the electric field in the atmosphere is 100 V/m? pointing down, and E^*4piR^2=Q/epsilon o. what is Q/4piR^2in C/m^2? In electrons/m^2 A 470Q resistor is connected across a 90 volt dc power supply. How many electrons pass through the resistor each second?

Explanation / Answer

1)

magnitude E = 0

units = N/C

direction = indeterminate

2)

(a)

V = k*q1/y + k*q2/y

v = (9*10^9*5*10^-6)/0.2 + (9*10^9*5*10^-6)/0.2 = 450000

V = volts

(b)

W = dU = k*q1*q2/r = -(9*10^9*5*10^-6*5*10^-6)/(0.4) = 0.5625

joules

________

3)

(a)

Eo = V/d = 90/(0.02*10^-2) = 450000

units : volt/meter

(b)

E = k*Eo = 2700000

units : volt/meter

(c)

C = eo*A/d = (8.84*10^-12*1*10^-4)/(0.02*10^-2)

C = 4.42*10^-12

unita : farad

_____________________

(4)

Q/(4*pi*R^2) = E*eo = 100*8.84*10^-12 = 8.84*10^-10

_________________

(5)

I = v/R = 90/470 = 0.191

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