Question

What is the equivalent resistance of a 7ohm resistor and a 93 ohm resistor connected in parallel? PLEASE HELP ASAP​

Answer 1

≅6.5Ω

Step-by-step explanation:

In the series resistor circuit, the electric current flows only one path. In the parallel resistor circuit, the current divides and circulates through several paths. These resistances are joined by their two extremes.

The equivalent resistance of a resistor circuit in parallel is equal to the reciprocal of the sum of the inverse of the individual resistors.

For the general case with "n" resistances in parallel the formula is:

`(1)/(R_(n) )=(1)/(R_(1))+ (1)/(R_(2)) +(1)/(R_(3))+....(1)/(R_(n) )`

Solving for R1 = 7ohm and R2 = 93ohm

`(1)/(R_(n) )=(1)/(7ohm)+ (1)/(93ohm)}`

`(1)/(R_(n) )=0.143ohm+0.011ohm\\(1)/(R_(n) )=0.154ohm\\R_(n)=(1)/(0.154) ohm\\R_(n)=6.503ohm`

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