resistors of 4ohm 8ohm 12 ohm and 16 ohm how will you connect them to get a resistance of a)22 ohmb)4.36ohm
Question
Resistors of 4 ohm, 8 ohm, 12 ohm, and 16 ohm
How will you connect them to get a resistance of:
a) 22 ohm
b) 4.36 ohm
Solution
a) To get a resistance of 22 ohms, you can connect the 4 ohm, 8 ohm, and 16 ohm resistors in series. When resistors are connected in series, their resistances simply add up. So, 4 ohm + 8 ohm + 16 ohm = 28 ohm. Then, connect the 12 ohm resistor in parallel with the 28 ohm series connection. The total resistance, R, of resistors connected in parallel is given by the formula 1/R = 1/R1 + 1/R2. So, 1/R = 1/28 + 1/12. Solving this equation gives R = 22 ohms.
b) To get a resistance of 4.36 ohms, you can connect all the resistors in parallel. The total resistance, R, of resistors connected in parallel is given by the formula 1/R = 1/R1 + 1/R2 + 1/R3 + 1/R4. So, 1/R = 1/4 + 1/8 + 1/12 + 1/16. Solving this equation gives R = 4.36 ohms.
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