How much current is generated in an electric lamp?

Calculation of current strength in an electric lamp

This digital product is a description of the calculation of the current in an electric lamp operating at a voltage of 120 V and having a tungsten filament heated to 2000 ° C.

The description includes a formula for calculating current using Ohm's law and an example of a calculation based on this condition. The description also indicates the thread resistance value at 18 °C equal to 40 Ohms.

This digital product will be useful for those who are interested in electricity and electrical engineering, as well as for those who study physics at school or university.

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The current generated in an electric lamp can be calculated using Ohm's law using the formula I = V/R, where I is the current in amperes, V is the voltage in volts, R is the resistance in ohms.

For this problem, it is known from the condition that the voltage in the lamp is 120 V, and the filament resistance at 18 °C is 40 Ohms. However, to calculate the current, you need to know the resistance of the filament at an operating temperature of 2000 ° C.

Let us assume that when heated, the filament increases its resistance by 10 times. Then the filament resistance at operating temperature will be 400 ohms (40 ohms x 10).

Now you can calculate the current using Ohm's formula: I = V/R = 120 V / 400 Ohm = 0.3 A.

Thus, the current generated in an electric lamp when operating at a voltage of 120 V and when the tungsten filament is heated to 2000 °C is equal to 0.3 A.

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The strength of the current arising in an electric lamp can be calculated by Ohm's law, which states that the current strength (I) in a conductor is directly proportional to the voltage (U) on this conductor and inversely proportional to the resistance (R) of the conductor: I = U / R.

To solve this problem, you first need to find the resistance of the filament at a temperature of 2000 °C. This can be done using the formula for changing the resistance of a conductor with a change in temperature: R = R₀(1 + αΔT), where R₀ is the resistance of the conductor at the initial temperature, α is the temperature coefficient of resistance, ΔT is the change in temperature.

For tungsten, the temperature coefficient of resistance α is 0.0045 1/°C. According to the conditions of the problem, the initial temperature is 18 °C, temperature change ΔT = 2000 °C - 18 °C = 1982 °C. Thus, the resistance of the filament at a temperature of 2000 °C will be equal to: R = 40 Ohm * (1 + 0.0045 1/°C * 1982 °C) = 319.1 Ohm.

Now you can find the current flowing through the lamp at a voltage of 120 V: I = U / R = 120 V / 319.1 Ohm ≈ 0.376 A. Answer: the current generated in an electric lamp operating at 120 V and heated to 2000 °C, equal to approximately 0.376 A.

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