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In a series circuit, if the voltage source is doubled while the resistance remains constant, the current flowing through the circuit will _____.
remain the same
decrease by half
double
increase four times
double
According to Ohm's Law, the current flowing through a metallic conductor is directly proportional to the potential difference applied across its ends, provided the temperature and physical conditions remain constant. Since the resistance R remains constant, doubling the voltage V directly forces the current I to double to maintain the equality.
IEEE 100
According to Ohm's Law, the current flowing through a metallic conductor is directly proportional to the potential difference applied across its ends, provided the temperature and physical conditions remain constant. Since the resistance R remains constant, doubling the voltage V directly forces the current I to double to maintain the equality.
I=RVтАЛ тАФ Ohm's Law representing the relationship between Current (I), Voltage (V), and Resistance (R)
I2тАЛ=R2VтАЛ=2I1тАЛ тАФ Scaling property of current under constant resistance
The relationship is governed by the equation I=RVтАЛ. If the initial current is I1тАЛ=RVтАЛ, and the new voltage is V2тАЛ=2V, the new current I2тАЛ becomes I2тАЛ=R2VтАЛ=2├ЧI1тАЛ. Thus, the current is linearly dependent on the voltage when resistance is fixed.
Ohm's Law is valid for linear, ohmic conductors at constant temperature.
Current is inversely proportional to resistance when voltage is constant.
Current is directly proportional to voltage when resistance is constant.
Simple linear relationship for circuit analysis
Predictable circuit behavior in steady state
Does not apply to non-ohmic devices like diodes or transistors
Resistance may change if the conductor heats up due to increased current
Basic circuit design
Load calculation in power distribution
If the resistance were temperature-dependent, the current might increase by less than double due to self-heating effects.
Option A is incorrect because current must change if voltage changes in a fixed resistor.
Option B represents an inverse relationship which contradicts Ohm's Law.
Option D would only occur if the voltage were increased by a factor of four, or if resistance were halved.
C is correct тАФ The current is directly proportional to the voltage in an ohmic circuit; therefore, doubling the voltage while keeping resistance constant results in a doubling of the current.
Always verify if the component is linear (Ohmic) before applying V=IR; non-linear components like thermistors or lamps change resistance with temperature.