Question

Ip three resistors, r1r1r_1 = 11 ωω , r2r2r_2 = 68 ωω , and r3=rr3=r, are connected in series with a 24. 0 vv battery. The total current flowing through the battery is 0. 20 aa

Answer 1

The three resistances are connected in series, their equivalent is equal to the addition of all the resistances. The unknown value of resistance is 1.74 ohm.

What is resistance?

The resistance is the opposition offered to the flow of current.

Given the value of resistance R₁ is 1 ohm, R₂ is 68 ohm and R₃ is R.

The total current flowing through the battery of voltage 24 V is 0.20 Amperes.

From the ohms law, The equivalent resistance is

$R_{eq}$ = Voltage / Current

The equivalent resistance is

$R_{eq}$ = R₁+ R₂+R₃

24 / 0.20 = 1+68+R

R = 1.74 ohm

The unknown value of resistance is 1.74 ohm.

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