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An element hobbyist is building a radio ...

An element hobbyist is building a radio which reequires `150 Omega` in her circuit, but she has only `220Omega, 79 Omega and 92 Omega` resistors available. How can she connect the available resistor to get desired value of resistance ?

Text Solution

Verified by Experts

Required effective resistance =`150 Omega`
Given resistors of resistance `R_1=220 Omega,R_2=79 Omega R_3=92 Omega`
Parallel combination of `R_1 and R_2`
`1/(R_p)=1/(R_1)+1/(R_2)=1/220+1/79=(79+220)/(220xx79)`
`R_p=58 Omega`
Parallel combination of `R_p and R_3`
`R_s=R_p+R_3=58+92`
`R_s=150 Omega`
Parallel combination of 220 `Omega and 70 Omega` in series with `92 Omega`
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