Answer:
B. increase by a factor of 3.
Step-by-step explanation:
According to ohms law:
V ∝ R
Vo = IoR
R = Vo/Io ... (1)
Vo is the initial potential difference/voltage
Io is the initial current across the resistor
R is the resistance
If for an Ohmic conductor, we triple the voltage without changing the resistance:
New voltage V1 = 3Vo
New voltage V1 = I1R (resistance doesn't change)
I1 is the current after the voltage has tripled
3Vo = I1R
R = 3Vo/I1... (2)
Equating both resistances in 1 and 2 since resistance doesn't change we have:
Vo/Io = 3Vo/I1
1/Io = 3/I1
I1/Io = 3
New current I1 = 3Io
This shows that tripling the voltage increases the current by factor of 3
