Answer:
Resistor "b".
Step-by-step explanation:
Since the two resistors are connected in parallel:
- Voltage across the two resistors would be the same, and
- Sum of the current in the two resistors would be equal to the total current in the circuit.
Since both resistors are connected directly to the
battery, the voltage across both resistors would be
.
Current in resistor "a" is
while the total current is
. Hence, current in the other resistor (resistor "b") would be
.
Apply Ohm's Law to find the resistance of each resistor. By Ohm's Law:
,
Where:
-
is the voltage across the resistor, and
is the current in the resistor.
The resistance of resistor "a" would be:
.
The resistance of resistor "b" would be:
.
Hence, resistance of resistor "b" is higher than that of resistor "a".