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In a series circuit consisting of three resistors of 5 ohms, 10 ohms, and 15 ohms, if one 5 ohm resistor is removed and replaced by a wire of zero resistance, the total resistance of the circuit will:
Increase
Decrease
Remain the same
Become zero
Decrease
The total resistance of a series circuit is equal to the sum of all individual resistances connected in the circuit. When a 5 ohm resistor is removed and replaced by a zero-resistance wire, the effective resistance contributed by that component becomes zero, thereby reducing the total equivalent resistance from 30 ohms to 25 ohms.
The total resistance of a series circuit is equal to the sum of all individual resistances connected in the circuit. When a 5 ohm resistor is removed and replaced by a zero-resistance wire, the effective resistance contributed by that component becomes zero, thereby reducing the total equivalent resistance from 30 ohms to 25 ohms.
Think of resistors as speed bumps on a road; removing one speed bump and replacing it with a smooth stretch of pavement makes the path easier to travel, reducing the total resistance to your journey.
Series adds up: Sum it all up!
ReqтАЛ=R1тАЛ+R2тАЛ+R3тАЛ тАФ Equivalent resistance in a series circuit
R=0 тАФ Resistance of an ideal conducting wire
In a series combination, resistors are connected end-to-end, providing a single path for current flow. The equivalent resistance is given by the algebraic sum ReqтАЛ=R1тАЛ+R2тАЛ+R3тАЛ+тАж. Replacing a resistor with a plain conducting wire of negligible resistance eliminates its resistive contribution, lowering the overall sum.
Total resistance in a series circuit increases with the addition of more resistors.
Replacing a resistor with an ideal wire reduces the total resistance.
The current in the circuit will increase as a result of the decreased total resistance, assuming voltage remains constant.
Circuit troubleshooting and short-circuit analysis
Adjusting equivalent resistance values in electronic prototyping
Initial total resistance was 5┬а╬й+10┬а╬й+15┬а╬й=30┬а╬й.
New total resistance becomes 0┬а╬й+10┬а╬й+15┬а╬й=25┬а╬й, which is a decrease.
Option A is incorrect because resistance decreases, not increases. Option C is incorrect because the value changes. Option D is incorrect because the remaining 10 ohm and 15 ohm resistors still contribute resistance.
B is correct тАФ The total resistance decreases because replacing one of the series resistors with a zero-resistance wire removes its contribution, lowering the sum of resistances.
Always remember that adding resistors in series increases total resistance, whereas adding them in parallel decreases total resistance.