A resistor of resistance R is connected to a battery of negligible internal resistance. If a siilar resistor is connected in series with it the
effective resistance of the circuit is halved
total power dissipated is doubled
total current in the circuit is halved
terminal voltage is halved
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Discussions (13)
I=E/(R+r) r is negligible in the question
So...I=E/(R). Another similar resistor is added in series; I=E/(R+R)
I=E/2R . Therefore current is reduced by 2
Ans: C
When a resistor of resistance R is connected to a battery with negligible internal resistance and then a similar resistor is connected in series with it, the effective resistance of the circuit is increased to 2R. This is because resistors in series add up to give the total resistance.
Applying Ohm's Law (V = IR), since the resistance of the circuit has doubled, the total current in the circuit will be halved (C). This is because, with the same voltage applied by the battery, as resistance increases, current decreases.
The total power dissipated in the circuit depends on the voltage, current, and resistance. Since the current is halved but the total resistance has doubled, the total power dissipated will be halved, not doubled (B).
The terminal voltage across each resistor will also be halved in this scenario. This is because the total voltage supplied by the battery is distributed across both resistors, and adding another resistor in series effectively divides the voltage equally across them, resulting in a halving of the terminal voltage (D).
Ai
You guys saying 'power is doubted' are actually forgetting that the current is also affected. If your calculation is right the current and power are both halved, so the answer should be C
I'm thinking B should actually be correct, since it is a Series Connection.
Yuuno, being a series connection, the same current flows through the resistors, so, the current should not be halved or doubled.
It should be the same, but Power is affected.
Actually The resistance is doubled and the current is halved so the power remains the same
