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A series circuit contains three 2 Ω resistors and a 6 Ω resistor. The current in each resistor is 4.0 A. What is the voltage of the battery in the circuit? 2.0 V 3.0 V 32 V 48 V

2 Answers

4 votes

Answer:

D. 48V

Step-by-step explanation:

Edge

User ColinKennedy
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7 votes

The effective resistance of several resistors in series
is the sum of their individual resistances.

In this circuit, the effective resistance is

(2 ohms + 2 ohms + 2 ohms + 6 ohms) = 12 Ω .

So 12 ohms is what the battery sees. The battery doesn't know
whether that's a single resistor, or the sum of several.


Now, the voltage across a resistor is

V = (current) · (resistance) .

For this circuit ...

V = (4.0 A) (12 Ω) = 48 volts .
User Dave Welling
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8.1k points