1) Christopher examines his plot of potential difference versus time and notices
ID: 778810 • Letter: 1
Question
1) Christopher examines his plot of potential difference versus time and notices that the exponent reads “-2t.” He compares this to Eq. 2 in the lab document to determine the time constant for his experiment. What is the time constant? Express your answer in seconds, s.
3) Emily finds that the resistance of the voltmeter is 6.00 × 106 . When it is connected in parallel with a 10,000 resistor, the equivalent resistance is (answer in units of ohms, )
4)Christopher and Emily examine an RC circuit with a time constant of 0.35 s. If the initial potential difference was 12 V, what was the potential difference across the capacitor after two time constants had passed, while discharging. Express your answer in volts, V.
5)After recording many measurements, Emily notices that the precision of the measurement is becoming less because of the setting on the meter. She should
A)continue to record values until she has thirty values, or it becomes impossible to distinguish one reading from the next.
B)turn the dial on the meter for added precision.
C)assume she has enough measurements and proceed to the next step.
D)recharge the capacitor and start over on a different setting.
Explanation / Answer
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1.
Compare with e-t/T
WHere T =Time COnstant ,therefore
T=1/2 =0.5 s
3.
equivalent resistance
1/R =1/6*106 +1/10000
R=9983.36 ohms
4.
in a RC circuit Voltage as a function of time for discharging is given by
V=Voe-t/T
V=12e-2T/T
V=1.624 Volts
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