Determine the total resistance of each of the following parallel circuits.
A. A parallel circuit with a 20-ohm resistor and a 10-ohm resistor.
B. A parallel circuit with two 20-ohm resistors and a 10-ohm resistor.
C. A parallel circuit with a 15-ohm light bulb and a 20-ohm resistor.
D. A parallel circuit with two 100-ohm resistors and a 20-ohm resistor.
E. A parallel circuit with a 10-ohm, 20-ohm, 100-ohm and 200-ohm resistor.
I'm not sure how to calculate this and I can't find much about it. Please help me and thank you.
i'm sooooo tired of gizmos
I just found this formula: 1/Rt = 1/R1 + 1/R2 + 1/R3 +...
Rt = R (t)otal
But I don't know how to use it can someone please help me?
What an amazing system! Admirable D:
y'all like pizza
sheeeeesh
To determine the total resistance (RT) of a parallel circuit, you can use the formula:
1/RT = 1/R1 + 1/R2 + 1/R3 + ...
A. For a parallel circuit with a 20-ohm resistor and a 10-ohm resistor:
1/RT = 1/20 + 1/10
1/RT = 1/20 + 2/20
1/RT = 3/20
RT = 20/3 ohms
B. For a parallel circuit with two 20-ohm resistors and a 10-ohm resistor:
1/RT = 1/20 + 1/20 + 1/10
1/RT = 1/20 + 1/20 + 2/20
1/RT = 4/20
RT = 20/4 ohms
RT = 5 ohms
C. For a parallel circuit with a 15-ohm light bulb and a 20-ohm resistor:
1/RT = 1/15 + 1/20
1/RT = 4/60 + 3/60
1/RT = 7/60
RT = 60/7 ohms
D. For a parallel circuit with two 100-ohm resistors and a 20-ohm resistor:
1/RT = 1/100 + 1/100 + 1/20
1/RT = 2/200 + 2/200 + 10/200
1/RT = 14/200
RT = 200/14 ohms
RT ≈ 14.29 ohms
E. For a parallel circuit with a 10-ohm, 20-ohm, 100-ohm, and 200-ohm resistor:
1/RT = 1/10 + 1/20 + 1/100 + 1/200
1/RT = 20/200 + 10/200 + 2/200 + 1/200
1/RT = 33/200
RT = 200/33 ohms
RT ≈ 6.06 ohms
By using the formula for the resistance of parallel circuits, 1/RT = 1/R1 + 1/R2 + 1/R3 + ..., you can calculate the total resistance for various parallel circuit configurations.
parallel circuits, you have the formula. There is a better way, less algebra, convert to conductances.
A. A parallel circuit with a .050 mho resistor and a .10mho resistor.
B. A parallel circuit with two .050 moh resistors and a .1mho resistor.
C. A parallel circuit with a 15-ohm light bulb and a 20-ohm resistor.
D. A parallel circuit with two 100-ohm resistors and a 20-ohm resistor.
E. A parallel circuit with a 10-ohm, 20-ohm, 100-ohm and 200-ohm resistor.
so you see, I did the reciprocal in A, B to get mhos, 1mho=1/ohm; conductance = 1/resistance.
Now, I will do B for you.
Conductance total= Ct= C1+C1 + C3
= .050+.050+.1=.2mho
resistancetotal=1/Ct=1/.2= 5 ohms