find the equivalent resistance and the current drawn from the 6 resister
Answers
Total Resistance = 10/3 ohm
Current drawn by the circuit is 3 Ampere.
Given:-
Resistance of Each Resistors = 100 ohm
To Find:-
Equivalent Resistance ,Req
Current drawn by the circuit ,I
Solution:-
As we have to calculate the Equivalent resistance of the given circuit.
Let's arrange the resistors which is given in the circuit in favourable way. The new diagram formed are given in attachment .
Calculating the Equivalent Resistance or Total Resistance
As we know that the Equivalent Resistance is defined as the sum of reciprocal of Resistance of each individual Resistors.
• 1/Req = 1/R1 + 1/R2 + 1/R3
Substitute the value we get
→ 1/Req = 1/10 + 1/10 + 1/10
→ 1/Req = 1+1+1/10
→ 1/Req = 3/10
→ Req = 10/3 Ω
Hence, the total Resistance across the given Resistor is 10/3 ohms.
Now, Calculating the current drawn by the circuit .
Using Ohm's Law
• V = IR
where,
V denote Potential Difference
I denote Current
R denote Resistance
Substitute the value we get
→ 10 = I × 10/3
→ I = (10/3)/10
→ I = 3 A
Hence, the current flow through the circuit is 3 Ampere.