Question

Помогите ПОЖАЛУЙСТА разобраться!) Пару раз уже перерешала и перепроверила все, а ответ все не сходится :с По горизонтальным рельсам, расположенным в вертикальном магнитном поле с индукцией В=0.04 Тл, скользит проводник длиной l = 0,8 м с постоянной скоростью v = 10 м/с. Концы рельсов замкнуты на резистор сопротивлением R = 4 Ом. Определить количество теплоты, которое выделяется в резисторе за время t = 1 с. Сопротивлением рельсов и проводника пренебречь.

Answer 1

Q=I^2*R*t
I=E/R=B*V*L/R=0,04*10*0,8/4=0,08 A
Q=0,08^2*4*1=0,0256 Дж

Answer 2

Problem Analysis

To solve this problem, we need to calculate the amount of heat generated in the resistor when a conductor slides along horizontal rails in a vertical magnetic field. The conductor has a length of 0.8 m and a constant velocity of 10 m/s. The ends of the rails are connected to a resistor with a resistance of 4 Ω. We need to determine the amount of heat generated in the resistor over a time period of 1 s.

Solution

To solve this problem, we can use the formula for the heat generated in a resistor:

Q = I^2 * R * t

Where: - Q is the heat generated in the resistor (in joules) - I is the current flowing through the resistor (in amperes) - R is the resistance of the resistor (in ohms) - t is the time period (in seconds)

To find the current flowing through the resistor, we can use Ohm's Law:

I = V / R

Where: - V is the voltage across the resistor (in volts)

To find the voltage across the resistor, we can use Faraday's Law of Electromagnetic Induction:

V = B * l * v

Where: - B is the magnetic field strength (in teslas) - l is the length of the conductor (in meters) - v is the velocity of the conductor (in meters per second)

Let's calculate the heat generated in the resistor step by step.

Calculation

Given: - Magnetic field strength (B) = 0.04 T - Length of the conductor (l) = 0.8 m - Velocity of the conductor (v) = 10 m/s - Resistance of the resistor (R) = 4 Ω - Time period (t) = 1 s

1. Calculate the voltage across the resistor (V): - V = B * l * v - V = 0.04 T * 0.8 m * 10 m/s - V = 0.32 V

2. Calculate the current flowing through the resistor (I): - I = V / R - I = 0.32 V / 4 Ω - I = 0.08 A

3. Calculate the heat generated in the resistor (Q): - Q = I^2 * R * t - Q = (0.08 A)^2 * 4 Ω * 1 s - Q = 0.032 J

Answer

The amount of heat generated in the resistor over a time period of 1 second is 0.032 joules.

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