What is the total resistance in a parallel circuit with a 10 ohm lamp and a 15 ohm lamp?
There is a formula you can use, but instead, do this:
assume 150 volts>
Current in 10 ohm resistor= 15a
current in 15 ohm reistor= 10 a
Net resistance= V/I= 150/25=6 ohms
and of course, you can do it the geek way:
1/Rtotal= 1/10 + 1/15
1/Rtotal= (15+10)/150= 1/6
Rtotal= 6 ohms.
To find the total resistance in a parallel circuit, you can use the formula:
1/RT = 1/R1 + 1/R2 + ...
Given the resistance of the two lamps, R1 = 10 ohms and R2 = 15 ohms, we can substitute these values into the formula:
1/RT = 1/10 + 1/15
To simplify this equation, we need to find a common denominator:
1/RT = 3/30 + 2/30
= 5/30
Now, we can take the reciprocal of both sides:
RT = 30/5
Simplifying this equation, we get:
RT = 6 ohms
Therefore, the total resistance in the parallel circuit with a 10 ohm lamp and a 15 ohm lamp is 6 ohms.
To find the total resistance in a parallel circuit, you use the formula:
1 / Rt = 1 / R1 + 1 / R2 + 1 / R3 + ...
In this case, you have two lamps with resistances of 10 ohms and 15 ohms.
1 / Rt = 1 / 10 + 1 / 15
To calculate this, you add the reciprocals of the resistances:
1 / Rt = (15 + 10) / (15 * 10)
Simplifying further:
1 / Rt = 25 / 150
Now, take the reciprocal on both sides:
Rt = 150 / 25
Therefore, the total resistance in the parallel circuit is 6 ohms.