Please answer 52. 53, 57 52. A 34 Q and a 45 Q resistor are connected in series.
ID: 2036430 • Letter: P
Question
Please answer 52. 53, 57
52. A 34 Q and a 45 Q resistor are connected in series. A) Find the equivalent resistance. B) Find the current through each resistor and the voltage across each resistor when this series combination is connected across a 7.5 V battery 53. A 250 Q resistor and a 370 resistor are connected in parallel. A) Find the equivalent resistance. B) Find the current through each resistor and the voltage across each resistor when this series combination is connected across a 12 V battery. 57. You're given a box of 10 ? resistors (unlimited supply). How would you connect the resistors to make the following equivalent resistances: a) 2 ? b) 35 ? c) 7 ? d) 19 ?.Explanation / Answer
Remember:
For series combination
Req = R1 + R2 + R3 +...............
for parallel combination
1/Req = 1/R1 + 1/R2 + 1/R3 + ............
for 2 resistors in parallel it will be
Req = R1*R2/(R1+R2)
Remember in resistors parallel combination voltage distribution in each part will be same and in series combination current distribution in each resistor will be same.
Using this Information:
E.
Req = 34 + 45 = 79 ohm
ieq = V/Req = 7.5/79 = 0.095 Amp
Since in series So
Current in 34 ohm = current in 45 ohm = 0.095 Amp
Voltage in 34 ohm = 0.095*34 = 3.23 V
Voltage in 45 ohm = 0.095*45 = 4.27 V
F.
Req = 250*370/(250 + 370) = 149.2 ohm
ieq = 12/149.2 = 0.080 Amp
Since in parallel So
Voltage in 250 ohm = Voltage in 370 ohm = 12 V
Current in 250 ohm = 12/250 = 0.048 Amp
Current in 370 ohm = 12/370 = 0.032 Amp
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