Question

4. Чему равно время прохождения тока по проводнику, если при силе тока в цепи 5 А совершается работа 540 кДж? Сопротивление проводника 24 Ом. 5. Какую работу совершит электрический ток в течение 2 минут, если сила тока в проводнике 4 А, а его сопротивление 50 Ом?​

Answer 1

Ответ: 15мин; 96кДж

Объяснение:

Дано:

I=5А

А=540кДж=540000Дж

R=24 Ом

-----------------------

t-?

А=I²Rt

t=A/(I²R)=540000/(5²*24)=900c=15мин

Дано:

t=2мин=120с

I=4А

R=50 Ом

-----------------

А-?

А=I²Rt=4²*50*120=96000Дж=96кДж

Answer 2

Time of Current Passage and Work Done by Electric Current

To calculate the time of current passage through a conductor and the work done by an electric current, we can use the following formulas:

1. Time of Current Passage (t): - The time of current passage through a conductor can be calculated using the formula: \[ t = \frac{W}{P} \] where \( W \) is the work done and \( P \) is the power.

2. Work Done by Electric Current (W): - The work done by an electric current can be calculated using the formula: \[ W = I^2 \times R \times t \] where \( I \) is the current, \( R \) is the resistance, and \( t \) is the time.

Calculation 1: Time of Current Passage

Given: - Current (I) = 5 A - Work Done (W) = 540 kJ - Resistance (R) = 24 Ω

Using the formula \( t = \frac{W}{P} \), we can calculate the time of current passage: \[ t = \frac{540 \times 10^3}{5 \times 24} \]

The time of current passage is approximately 450 seconds.

Calculation 2: Work Done by Electric Current

Given: - Current (I) = 4 A - Resistance (R) = 50 Ω - Time (t) = 2 minutes (converted to seconds: 120 seconds)

Using the formula \( W = I^2 \times R \times t \), we can calculate the work done by the electric current: \[ W = 4^2 \times 50 \times 120 \]

The work done by the electric current is approximately 48,000 J.

These calculations provide the time of current passage and the work done by the electric current based on the given parameters and formulas.

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