Practice problem, four resistors are connectors in series as shown in diagram I(a). A battery with 12 volts is connected to these four resistors in series. If R, = 2 ohms=R, = R3 =R4, the voltage from a battery is 12 volts, Find (1) The equivalent resistor for these 4 resistors (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 1, V1

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Practice problem, four resistors are connectors in series as shown in diagram I(a).
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 resistor for these 4 resistors
(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 1, V1
(5) The voltage drop (potential difference) across the resistor 2, V2
(6) The power dissipated in R1, P1
(7) The power dissipated in R2, P2
(8) Is the voltage drop from battery , 6 volts = v1 + V2 ( answers from (4) and (5) ?
(9) Is the total power dissipated in R1 and R2 equal to the power calculated by
the current square (I²) times the equivalent resistance for these 4 resistors?
(10) If these 4 resistors are connected in parallel, 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
as found from the answer (2) or (3)?
Transcribed Image Text:Practice problem, four resistors are connectors in series as shown in diagram I(a). 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 resistor for these 4 resistors (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 1, V1 (5) The voltage drop (potential difference) across the resistor 2, V2 (6) The power dissipated in R1, P1 (7) The power dissipated in R2, P2 (8) Is the voltage drop from battery , 6 volts = v1 + V2 ( answers from (4) and (5) ? (9) Is the total power dissipated in R1 and R2 equal to the power calculated by the current square (I²) times the equivalent resistance for these 4 resistors? (10) If these 4 resistors are connected in parallel, 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 as found from the answer (2) or (3)?
I.Circuit with resistors in series (a) and in parallel (b)
R,
R2
R3
R4
(a)
R,
R2
R3
R4
(b)
Transcribed Image Text:I.Circuit with resistors in series (a) and in parallel (b) R, R2 R3 R4 (a) R, R2 R3 R4 (b)
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