Math, asked by sophiajara15, 1 year ago

Find the resistances of two resistors connected in parallel where, One resistor is three times as large as the other. The total resistance is 12 ohms.

Answers

Answered by RikCena
0
1/3x + 1/x = 1/12
=> (1+3)/3x =1/12
=> 4/12x =1/12
=> x = 4

Resistances are 4 ohm and 12 ohm

sophiajara15: wouldn't that be wrong. the total resistance is 12 ohms
Answered by conjureroman
1
Hey friend

let the larger resistor be x and small resistor be 3x

R equivalent in parallel combination
=>r eq.=1/r¹+1/r²

Now
=> 12=1/3x+1/x
=>12=4/3x
=>36x=4
=>x=9

So large resistor =9ohm
small resistor= 3ohm

RikCena: the formula is 1/r = 1/r1 + 1/r2
RikCena: since it is parallel connection
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