Question

find the current in the following 20 ohm resistor

Answer 1

HEY MATE YOUR ANSWER IS HERE.....

TOTAL VOLTAGE = 10 + 10 = 20 volts

TOTAL RESISTANCE = ?

★SO FOR FINDING TOTAL RESISTANCE.★.

by parallel law .....

$\frac{1}{ r_{p} } = \frac{1}{ r_{1} } + \frac{1}{ r_{2}} + \frac{1}{ r_{3}}$

$\frac{1}{r _{p} } = \frac{1}{10} + \frac{1}{20} + \frac{1}{10}$

$\frac{1}{r _{p} } \: = \frac{2 + 1 + 2}{20}$

$\frac{1}{ r_{p}} = \frac{5}{20} \\ \\ \\ r_{p} = \frac{20}{5} = 4$

HENCE

TOTAL RESISTANCE = 4Ω

★ NOW TOTAL CURRENT ★

$v = i \times r \\ \\ i = \frac{v}{r}$

$i \: = \frac{20}{4}$

$i \: = 5 \: ampere \: \:$

NOW WE HAVE

★ TOTAL CURRENT ★ = 5 AMPERES

★ TOTAL RESISTANCE ★ = 4 Ω

★ TOTAL VOLTAGE ★ = 20 VOLTS

SO CURRENT IN 20 Ω RESISTANCE =

$i \: = \frac{v}{r} \\ \\ i \: = \frac{20}{20} \\ \\ i \: = 1ampere$

HENCE UR ANSWER IS 1 AMPERE

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