Questions: What is the combined resistance and total current a. 13 K Ohm, 0.7 ma b. 625 Ohm, 14.4 ma c. 0.7 K Ohm, 13 ma d. 13 Watts, 0.7 Volts per resister

What is the combined resistance and total current
a. 13 K Ohm, 0.7 ma
b. 625 Ohm, 14.4 ma
c. 0.7 K Ohm, 13 ma
d. 13 Watts, 0.7 Volts per resister
Transcript text: What is the combined resistance and total current a. $13 \mathrm{~K} \Omega, \quad 0.7 \mathrm{ma}$ b. $625 \mathrm{Ohm}, 14.4 \mathrm{ma}$ c. $0.7 \mathrm{~K} \Omega, 13 \mathrm{ma}$ d. 13 Watts, 0.7 Volts per resister
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Solution

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Solution Steps

Step 1: Calculate the combined resistance

The resistors are connected in series, so the combined resistance is the sum of the individual resistances:

$R_{total} = R_1 + R_2 + R_3 = 10 k\Omega + 2 k\Omega + 1 k\Omega = 13 k\Omega$

Step 2: Calculate the total current

Using Ohm's law, the total current is calculated as follows:

$I = \frac{V}{R} = \frac{9V}{13 k\Omega} = \frac{9V}{13000\Omega} = 0.0006923 A \approx 0.692 mA \approx 0.7 mA$

Final Answer:

The combined resistance is 13 kΩ, and the total current is 0.7 mA. Therefore the answer is (a).

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