If three resistors are connecting in parallel, 5 ohms, 6 ohms, 3 ohms in a circuit. Calculate the equivalent resistance of the combination
conductance = 1/ resistance
total conductance = 1/5 + 1/6 + 1/3
= 6/30 + 5/30 + 10/30 = 21/30
so resistance = 30/21
To calculate the equivalent resistance (Req) of resistors connected in parallel, you can use the formula:
1/Req = 1/R1 + 1/R2 + 1/R3 + ...
In this case, the resistors connected in parallel are 5 ohms, 6 ohms, and 3 ohms.
1/Req = 1/5 + 1/6 + 1/3
Let's find the common denominator:
1/Req = 1/5 + 1/6 + 2/6
Combining the fractions:
1/Req = (6 + 5 + 2)/30
1/Req = 13/30
Now, we can take the reciprocal of both sides to find Req:
Req = 30/13
Therefore, the equivalent resistance of the combination is approximately 2.308 ohms.
To calculate the equivalent resistance of resistors connected in parallel, you can use the formula:
1/Req = 1/R1 + 1/R2 + 1/R3 + ...
In your case, three resistors are connected in parallel with resistances of 5 ohms, 6 ohms, and 3 ohms respectively. So, the equivalent resistance (Req) can be calculated as follows:
1/Req = 1/5 + 1/6 + 1/3
To combine the fractions, find a common denominator, which in this case is 30:
1/Req = (6/30) + (5/30) + (10/30)
1/Req = 21/30
To get the equivalent resistance, take the reciprocal of both sides of the equation:
Req = 30/21
Calculating the value:
Req = 1.43 ohms
Therefore, the equivalent resistance of the combination is 1.43 ohms.