The emf in the figure below is 4.62 V. The resistances are
R1=41.0Ω, R2=27.5Ω, and R3=39.5Ω. Find the following.
(a) the current in each resistor (Give your answers to at least three significant figures.)
I1 =---A
I2 =---A
I3 =---A
(b) the power consumed by each resistor
P1 =---W
P2 =---W
P3 =---W
(c) the power supplied by the emf device.---W
www.webassign.net/katzpse1/29-p-040.png
To find the current in each resistor and the power consumed by each resistor, we can use Ohm's law and the formulas for power and current in a series circuit.
(a) To find the current in each resistor, we need to use Ohm's law, which states that the current (I) flowing through a resistor is equal to the voltage (V) across the resistor divided by its resistance (R).
For R1:
I1 = V / R1 = 4.62 V / 41.0 Ω
For R2:
I2 = V / R2 = 4.62 V / 27.5 Ω
For R3:
I3 = V / R3 = 4.62 V / 39.5 Ω
(b) To find the power consumed by each resistor, we can use the formula P = I^2 * R, where P is the power, I is the current, and R is the resistance.
For R1:
P1 = I1^2 * R1
For R2:
P2 = I2^2 * R2
For R3:
P3 = I3^2 * R3
(c) The power supplied by the emf device can be calculated by multiplying the emf (V) by the total current in the circuit. In a series circuit, the total current is equal throughout all elements.
Total current (Itotal) = I1 + I2 + I3
The power supplied by the emf device (PEMF) can be calculated as:
PEMF = V * Itotal
Note: Since the values of R1, R2, R3, and V have not been provided in the question, the actual calculations cannot be performed. Please substitute the values of R1, R2, R3, and V into the above expressions to find the answers.