Where R_{1}, R_{2},â€¦â€¦,R_{n}Â are the resistors connected in parallel

## Resistors in Parallel Problems

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Let us discuss the solved problems of resisters in parallel connection.

**Solved Examples**

**Question 1:Â **Calculate the resultant resistance of a parallel circuit containing three resistors; R_{1}Â = 2Î©, R_{2}Â = 4Î© and R_{3}Â = 6Î©?

**Solution:**Given value of resistors are,

R_{1}Â = 2Î©,

R_{2}Â = 4Î©,

R_{3}Â = 6Î©

The formula for resistors in parallel is,

1/Rp =(1/2) +(1/4)+(1/6)

1/Rp =11/12

Rp=12/11

Rp = 1.0909Î©

**Question 2:Â **Calculate total resistance of the given parallel connection; R_{1}Â = 4Î© and R_{2}Â = 5Î©?

**Solution:Â **Given the value of resistors are,

R_{1}Â = 4Î©,

R_{2}Â = 5Î©

Formula for resistors in parallel is,

1/Rp = (1/4)+(1/5)

1/Rp = 9/20

Rp = 20/9

So, Rp = 2.222Î©

### Resistors In Series Formula

Resistors can be arranged in series form too such that the current flows through the resistors in series. Following is the table of formulas for parameters like the current, voltage and total resistance:

The flow of current through the resistors | I=I1=I2=I3â€¦..=In |

The voltage drop across the resistors | Vtotal=V1+V2+V3â€¦..+Vn |

Total resistance equation | Rtotal=R1+R2+R3â€¦..+Rn |