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- Question
A certain series circuit consists of a 1/8 W resistor, a 1/4 W resistor, and a 1/2 W resistor. The total resistance is 1200 Ω. If each resistor is operating in the circuit at its maximum power dissipation, total current flow is
Options- A. 27 mA
- B. 2.7 mA
- C. 19 mA
- D. 190 mA
- Correct Answer
- 27 mA
ExplanationTotal P = P1 + P2 + P3 = 7/8w.
P = I2R.
I = sqrt (P/R)
Now, P = 7/8w, R = 1200 ohm.
Therefore,
I= sqrt ( (7/8)/1200 ) = 0.0270030862 = 27 mA.
Series Circuits problems
Search Results
- 1. A series circuit has a 24 V source and a total resistance of 120 Ω. The current through each resistor is
Options- A. 24 mA
- B. 200 mA
- C. 120 mA
- D. 20 mA Discuss
Correct Answer: 200 mA
- 2. A 12 V battery is connected across a series combination of 68 Ω, 47 Ω, 220 Ω, and 33 Ω. The amount of current is
Options- A. 326 mA
- B. 16.3 mA
- C. 32.6 mA
- D. 163 mA Discuss
Correct Answer: 32.6 mA
- 3. If a 6 V and a 9 V source are connected series aiding, the total voltage is
Options- A. 6 V
- B. 9 V
- C. 3 V
- D. 15 V Discuss
Correct Answer: 15 V
- 4. To measure the current out of the second resistor in a circuit consisting of four resistors, an ammeter can be placed
Options- A. between the second and third resistors
- B. at the negative terminal of the source
- C. between the third and fourth resistors
- D. at any point in the circuit Discuss
Correct Answer: at any point in the circuit
- 5. A string of five series resistors is connected across a 6 V battery. Zero voltage is measured across all resistors except R3. The voltage across R3 is
Options- A. 0 V
- B. 1.2 V
- C. 6 V
- D. 0.6 V Discuss
Correct Answer: 6 V
- 6. Three 680 Ω resistors are connected in series with a 470 V source. Current in the circuit is
Options- A. 69 mA
- B. 230 mA
- C. 23 mA
- D. 690 mA Discuss
Correct Answer: 230 mA
- 7. All the voltage drops and the source voltage added together in a series circuit is equal to
Options- A. the total of the voltage drops
- B. the source voltage
- C. zero
- D. the total of the source voltage and the voltage drops Discuss
Correct Answer: zero
- 8. There are five resistors in a given series circuit and each resistor has 6 V dropped across it. The source voltage
Options- A. is 6 V
- B. depends on the current flow
- C. depends on the resistor values
- D. is 30 V Discuss
Correct Answer: is 30 V
- 9. Three 10 kΩ resistors are connected in series. A 20 kΩ resistor is connected in parallel across one of the 10 kΩ resistors. The voltage source is 24 V. The total current in the circuit is
Options- A. 900 µA
- B. 9 mA
- C. 90 mA
- D. 800 µA Discuss
Correct Answer: 900 µA
- 10. A voltage divider consists of two 100 kΩ resistors and a 12 V source. What will the output voltage be if a load resistor of 1 MΩ is connected to the output?
Options- A. 0.57 V
- B. 6 V
- C. 12 V
- D. 5.7 V Discuss
Correct Answer: 5.7 V
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Can you guide and explain how to solve the above equation without using a calculator? Thank you in anticipation.