Calculate the Value of the Resistance Which Must Be Connected to a 15 Ohm Resistance to Provide on Effective Resistance of 6 Ohm.

Calculate the value of the resistance which must be connected to a 15 ohm resistance to provide on effective resistance of 6 ohm.

Short/Brief Note

Resistance decreases in parallel combination. S let R resistance is connected to 15 Ω resistance parallel to make resultant 6 ohm.

Now, `1/6 = 1/15 + 1/"R"`

or `1/"R" = 1/6 - 1/15`

`= (5 - 2)/30 = 3/30 = 1/10`

∴ R = 10 Ω

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