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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

Available resistanve
`R_1 = 220 Omega`
`R_2 = 79 Omega`
`R_3 = 92 Omga`
`{:("Required"),("resistance"):}} = 150 Omega`
Connection of resistores would be
`R_j = 220 Omega`

`1/R_P = 1/R_1 + 1/R_2`
`1/R_P = 1/220 + 1/ 79 `
` = (79+220 )/ 299 = 299/17380`
`:." "P_P = 17380/299 = 58.12709 ~~ 58 Omega`
`R_S = R_P + R_3 = 58 + 92 = 150 Omega`
`:." Parallel combination of 220"Omega "and 79" Omega" in seris with 92 "Omega" `.
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