Question

Резистор, сопротивление которого 120 Ом, соединён параллельно с проводником из нихрома длинной 1,5 м и диаметром 0,2 мм. Чему равно их большее сопротивление?

Answer 1

Ответом на задачу будет: ~7,72 Ом

Answer 2

Calculating the Total Resistance

To calculate the total resistance of the circuit, we can use the formula for calculating the total resistance of resistors in parallel:

1/R_total = 1/R1 + 1/R2

Where R1 is the resistance of the resistor and R2 is the resistance of the nichrome wire.

Given: - Resistance of the resistor (R1) = 120 Ω - Length of the nichrome wire = 1.5 m - Diameter of the nichrome wire = 0.2 mm

Calculating the Resistance of the Nichrome Wire

To calculate the resistance of the nichrome wire, we can use the formula:

R = ρ * (L/A)

Where: - R is the resistance - ρ (rho) is the resistivity of the material - L is the length of the wire - A is the cross-sectional area of the wire

Cross-Sectional Area of the Nichrome Wire

The cross-sectional area (A) of the nichrome wire can be calculated using the formula for the area of a circle:

A = π * (d/2)^2

Where: - d is the diameter of the wire

Resistivity of Nichrome

The resistivity of nichrome is a material property and can be looked up in a materials database or handbook.

Calculating the Total Resistance

After calculating the resistance of the nichrome wire, we can then use the formula for resistors in parallel to find the total resistance of the circuit.

Let's calculate the resistance of the nichrome wire and then find the total resistance of the circuit.