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Practice problem, four resistors are connectors in parallel as shown in diagram I(b). A battery with 12 volts is connected to these four resistors in series. If R, = 2 ohms=R, = R; =R4, the voltage from a battery is 12 volts, Find (1) The equivalent resistance for these 4 resistors (2)Find the current flowing from the positive terminal of the battery before splitting to 4 currents to go through R1, R2, R3, and R4 (2) The current flowing through the resistor 1 (3) The current flowing through the resistor 2 (4) The voltage drop (potential difference) across the resistor 3, V3 (5) The voltage drop (potential difference) across the resistor 4, V4 (6) The power dissipated in R1, P1 (7) The power dissipated in R2, P2 (8) Is the voltage drop from battery , 12 volts =V1= V2=V3=V4 ( answers from (4) and (5) ? (9) Is the total power dissipated in R1, R2, R3, and R4 equal to the power calculated by the current square (I³) times the equivalent resistance for these 4 resistors? (10) If these 4 resistors are connected in series, what would be the equivalent resistance?

Practice problem, four resistors are connectors in parallel as shown in diagram I(b). A battery with 12 volts is connected to these four resistors in series. If R, = 2 ohms=R, = R; =R4, the voltage from a battery is 12 volts, Find (1) The equivalent resistance for these 4 resistors (2)Find the current flowing from the positive terminal of the battery before splitting to 4 currents to go through R1, R2, R3, and R4 (2) The current flowing through the resistor 1 (3) The current flowing through the resistor 2 (4) The voltage drop (potential difference) across the resistor 3, V3 (5) The voltage drop (potential difference) across the resistor 4, V4 (6) The power dissipated in R1, P1 (7) The power dissipated in R2, P2 (8) Is the voltage drop from battery , 12 volts =V1= V2=V3=V4 ( answers from (4) and (5) ? (9) Is the total power dissipated in R1, R2, R3, and R4 equal to the power calculated by the current square (I³) times the equivalent resistance for these 4 resistors? (10) If these 4 resistors are connected in series, what would be the equivalent resistance?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Practice problem, four resistors are connectors in parallel as shown in diagram I(b). A battery with 12 volts is connected to these four resistors in series. If R, = 2 ohms=R, = R; =R4, the voltage from a battery is 12 volts, Find (1) The equivalent resistance for these 4 resistors (2)Find the current flowing from the positive terminal of the battery before splitting to 4 currents to go through R1, R2, R3, and R4 (2) The current flowing through the resistor 1 (3) The current flowing through the resistor 2 (4) The voltage drop (potential difference) across the resistor 3, V3 (5) The voltage drop (potential difference) across the resistor 4, V4 (6) The power dissipated in R1, P1 (7) The power dissipated in R2, P2 (8) Is the voltage drop from battery , 12 volts = V1= V2=V3=V4 ( answers from (4) and (5) ? (9) Is the total power dissipated in R1, R2, R3, and R4 equal to the power calculated by the current square (I³) times the equivalent resistance for these 4 resistors? (10) If these 4 resistors are connected in series, what would be the equivalent resistance? (11) Will the current flowing through each resistor in parallel (among the 4 resistors in parallel) equal to the current flowing through each of the resistor when they are connected in series ?
Transcribed Image Text:Practice problem, four resistors are connectors in parallel as shown in diagram I(b). A battery with 12 volts is connected to these four resistors in series. If R, = 2 ohms=R, = R; =R4, the voltage from a battery is 12 volts, Find (1) The equivalent resistance for these 4 resistors (2)Find the current flowing from the positive terminal of the battery before splitting to 4 currents to go through R1, R2, R3, and R4 (2) The current flowing through the resistor 1 (3) The current flowing through the resistor 2 (4) The voltage drop (potential difference) across the resistor 3, V3 (5) The voltage drop (potential difference) across the resistor 4, V4 (6) The power dissipated in R1, P1 (7) The power dissipated in R2, P2 (8) Is the voltage drop from battery , 12 volts = V1= V2=V3=V4 ( answers from (4) and (5) ? (9) Is the total power dissipated in R1, R2, R3, and R4 equal to the power calculated by the current square (I³) times the equivalent resistance for these 4 resistors? (10) If these 4 resistors are connected in series, what would be the equivalent resistance? (11) Will the current flowing through each resistor in parallel (among the 4 resistors in parallel) equal to the current flowing through each of the resistor when they are connected in series ?
I.Circuit with resistors in series (a) and in parallel (b) R, R2 R3 R4 (a) R, R2 R3 R4 (b) II. For resistors in series (a) and equivalent resistor (b) for resistors in series V1 V R2 V2 Rea a R3 I= I, = I, = I, but V, V2 V3 when R1, where V= V,+V2 +V3 (a) Original circuit (b) Equivalent circuit III. For resistors in parallel (a) and equivalent resistor (b)for resistors in series 12 V Rea R,EV1 R2 E V2 a V = V2 = V but I, I, when R1 ; where I= I, + I, (a) Original circuit (b) Equivalent circuit
Transcribed Image Text:I.Circuit with resistors in series (a) and in parallel (b) R, R2 R3 R4 (a) R, R2 R3 R4 (b) II. For resistors in series (a) and equivalent resistor (b) for resistors in series V1 V R2 V2 Rea a R3 I= I, = I, = I, but V, V2 V3 when R1, where V= V,+V2 +V3 (a) Original circuit (b) Equivalent circuit III. For resistors in parallel (a) and equivalent resistor (b)for resistors in series 12 V Rea R,EV1 R2 E V2 a V = V2 = V but I, I, when R1 ; where I= I, + I, (a) Original circuit (b) Equivalent circuit
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