1. Describe how to determine the potential difference across a resistor in an el
ID: 1790272 • Letter: 1
Question
1. Describe how to determine the potential difference across a resistor in an electric circuit. Be specific about what you would disconnect (if anything).
2. Describe how to determine the current through a resistor in an electric circuit. Be specific about what you would disconnect (if anything).
3. Three resistors are connected in series to a 12V battery. If R1 = 2 , R2 = 4 , and R3 = 10 , find:
A. the current out of the battery
B. the potential difference across R1
C. the potential difference across R2
D. the potential difference across R3
E. the potential difference across R1 and R2
F. the potential difference across R1, R2, and R3
4. Identical resistors are placed in series with a 24V source. Each resistor has a resistance of 4 . Find the minimum number of resistors required to ensure that the current does not exceed 100mA.
5. Calculate the current through each resistor in a series circuit if the resistors (500 , 1000 , 1500 ) are connected to a power source, and the power through the 1000 resistor is 100W.
6. In a particular device, the current as a function of time is given as I = 10 e-0.2t. Find:
A. charge as a function of time
B. the total number of electrons that pass through the device in 4s.
7. A 10 volt power supply is connected to three resistors with values of 500, 1000 and 1500, that are connected in parallel.
Calculate:
A. the current through each resistor
B. compare to the total current by adding the individual currents through each resistor to that obtained from the relationship V=IR where R is the total resistance.
8. Why does adding more resistors in parallel decrease the total resistance of a parallel circuit? Explain with the relevant equations, and a clearly labeled picture.
9. What would happen if you connected a current meter in parallel with the 3 resistors from problem 7?
Explain.
10. Several 100 resistors are placed in parallel with a 10V battery.
A. How many would need to be connected so the current out of the battery is 1.6A? Show your work
B. Under the conditions given for part (a), what is the power dissipated through one resistor?
Explanation / Answer
1)Potential difference across resistor is given as
V=IR
where I is the current through that resistor.
2)I=V/R
where V is the potential across that resistor
We can use KVL and KCL law to determine current.
3)Req=R1+R2+R3=2+4+10=16 OHM
A)I=V/Req=12/16=0.75 A
b)POTENTIAL ACROSS R1
V1=V*R1/Req=12*2/16=1.5 V
c)POTENTIAL ACROSS R2
V2=V*R2/Req=12*4/16=3 V
d)POTENTIAL ACROSS R3
V3=V*R3/Req=12*10/16=7.5 V
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