Three resistors are connected in series with a battery as shown.The 3 Ω resistor is removed from the circuit. How does the voltage across the 4 Ω resistor change?A.The voltage will decrease, because the net resistance of the circuit decreases.B.The voltage will not change, because the 4 Ω resistor is still in series with the battery.C.The voltage will not change, because the battery voltage V is unchanged.D.The voltage will increase, because the sum of all voltage drops around a closed loop is zero.
Question
Three resistors are connected in series with a battery as shown.The 3 Ω resistor is removed from the circuit. How does the voltage across the 4 Ω resistor change?A.The voltage will decrease, because the net resistance of the circuit decreases.B.The voltage will not change, because the 4 Ω resistor is still in series with the battery.C.The voltage will not change, because the battery voltage V is unchanged.D.The voltage will increase, because the sum of all voltage drops around a closed loop is zero.
Solution
The voltage will increase. When the 3 Ω resistor is removed from the circuit, the total resistance of the circuit decreases. According to Ohm's law (V=IR), if the resistance (R) decreases and the current (I) from the battery remains the same, the voltage (V) across the remaining resistors in the circuit will increase. Therefore, the voltage across the 4 Ω resistor will increase. So, the correct answer is D. The voltage will increase, because the sum of all voltage drops around a closed loop is zero.
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