<h2>
Option A is the correct answer.</h2>
Explanation:
A 10-ω resistor and a 30-ω resistor are connected in series across a 100-V battery
Total resistance = 10 + 30 = 40 ω
We have
Voltage = Current x resistance
100 = I x 40
I = 2.5 A
In series current in all the resistors are same, that is 2.5 A
Voltage in 10ω resistor, V = I x 10 = 2.5 x 10 = 25 V
In parallel connection potential in all the resistors are same.
Voltage in 10ω resistor, V = 100 V
The ratio of the potential difference across the 10-ω resistor in the series combination to that of the 10-ω resistance connected in parallel = 25/100 = 1/4
Option A is the correct answer.
