7.00 N 4.00 N 9.00 N R a b (a) Find the equivalent resistance between points a and b in the figure. (R = 15.0 N) 17.78 Ω (b) Calculate the current in each resistor if a potential difference of 54.0 V is applied between points a and b. I (4.00 N) 1.913 X A I (7.00 N) A I (15.0 N) I (9.00 N) A A
Calculating the equivalent resistance of the given circuit, we will find the total current in the circuit using Ohm's law.
In the given circuit and are connected in parallel and equivalent resistance of these two is connected in series with and .
We will also use the concept that when two resistors are in parallel combination voltage drop across them will be equal and when two resistors are connected in series current through each resistor will be equal.
Formula to be used:-
When two resistors are connected in parallel and equivalent resistance of these two resistors is then
Equivalent resistance of two resistors connected in series is
Voltage drop across resistor carrying current and resistance is
When two resistors are connected in parallel and total current in the circuit is I then
Current through is
Current through is
Given Data:-
Resistance of the resistors are
Potential difference a and b is
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