two resistors are connected in parallel. their resistances are 8 ohms and 17ohms. what is the resistance of the combonation.
1/R = 1/R1 + 1/R2 = (R1+R2)/R1R2
so R = R1 R2 / (R1+R2)
= 8*17 /(8+17)
To find the total resistance of two resistors connected in parallel, you can use the formula:
1/RTotal = 1/R1 + 1/R2 + ...
In this case, you have two resistors connected in parallel with resistances of 8 ohms and 17 ohms. Using the formula:
1/RTotal = 1/8 + 1/17
To simplify this equation, you need to find a common denominator. In this case, it is 136.
1/RTotal = (17/136) + (8/136)
Adding the fractions:
1/RTotal = 25/136
To isolate RTotal, you need to take the reciprocal of both sides:
RTotal = 136/25
Therefore, the resistance of the combination is approximately 5.44 ohms.