Question

two resister each of 1 ohm connected in parallel find the equivalent resistance​

Answer 1

1/Rp = 1/Rp+1/Rp

1/Rp= 1/1+1/1

1/Rp= 1+1/1

1/Rp=2/1

Rp=1/2

Answer 2

However the total resistance of two or more equal value resistors can be calculated using a simple rule.

The total resistance of two parallel resistors of equal value is 1/2 the value of a single resistor.
The total resistance of three parallel resistors of equal value is 1/3 the value of a single resistor.
ETC.
Another simple rule is that the total resistance of parallel resistors will always be less than the smallest value resistor in the circuit.

A 100 ohm resistor with a 10,000 ohm resistor will be slightly smaller than 100 ohms. (99 ohms)
A 100 ohm resistor with a 1,000 ohm resistor will also be below 100 but by a bit more (90 ohms)
Notice in the two example above the ratios between the two parallel resistor’s values were 1/100 and 1/10. So by knowing the ratio. you can have an idea of how much the total resistance will drop. This allows you to quickly estimate the total resistance in your head.
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