Parts a through c are part of the same problem. THANK YOU in advance! 3. Suppose

Question

Parts a through c are part of the same problem. THANK YOU in advance!

3. Suppose a multi-meter is used to measure voltage differences in the circuit below represented as a schematic diagram. Suppose the battery is 10 Volts and each resistor is 47 mega Ohms (a) Without applying the meter, what should be the voltage difference between points b and c? (b) If you want to measure the voltage difference from point b to point a (a positive value) where would you connect the V wire and where would you connect the COM wire? Indicate these connections with lines V OFF R2

Explanation / Answer

a)

E = battery Voltage = 10 Volts

R1 = R2 = 4.7 x 106 ohm

R1 and R2 are in series and their combination is given as

R12 = R1 + R2 = (4.7 x 106) + (4.7 x 106) = 9.4 x 106 ohm

current flowing from the battery using ohm's law is given as

i = E/R12 = 10/(9.4 x 106) = 1.1 x 10-6 A

Vbc = Voltage difference between b and c = i R2 = (1.1 x 10-6) (4.7 x 106) = 5.2 Volts

b)

V wire at b and COM wire at a

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