Вопрос
A piece of wire with a resistance of 80Omega was cut into four equal parts . These parts were connected in parallel . Calculate the total resistance of circuit. 4Omega 20Omega 5Omega 0.2Omega
Решения
4.1
(252 Голоса)
Бронислава
Экспертная проверка
мастер · Репетитор 5 лет
Ответ
To solve this problem, we need to calculate the total resistance of the circuit when the four equal parts of the wire are connected in parallel.Given information:- The original resistance of the wire is
.- The wire is cut into four equal parts.- The four parts are connected in parallel.Step 1: Calculate the resistance of each part.Since the wire is cut into four equal parts, the resistance of each part will be:Resistance of each part = Total resistance / Number of partsResistance of each part =
Step 2: Calculate the total resistance of the parallel circuit.When the four parts are connected in parallel, the total resistance can be calculated using the formula:
where
,
,
, and
are the resistances of the four parts.Substituting the values, we get:
Therefore, the total resistance of the circuit when the four equal parts of the wire are connected in parallel is
.The correct answer is
.