Question

1. Four resistors having values of 270 ohms, 330ohms, 510ohms, and 430 ohms are connected in parallel. What is the total resistance in the circuit?

2. A parallel circuit contains four resistors. The total resistance of the circuit is 120 ohms. Three of the resistors have values of 820ohms, 750 ohms, and 470 ohms. What is the value of the fourth resistor?

3. What characterizers a parallel circuit?​

Answer 1

Ответ:

1. To calculate the total resistance in a parallel circuit, you can use the formula:

1 / R_total = 1 / R1 + 1 / R2 + 1 / R3 + 1 / R4

Plugging in the values:

1 / R_total = 1 / 270 + 1 / 330 + 1 / 510 + 1 / 430

Now, calculate the total resistance, R_total:

R_total = 1 / (1/270 + 1/330 + 1/510 + 1/430)

2. In a parallel circuit, the total resistance (R_total) is found using the formula mentioned in the first answer. Given that R_total is 120 ohms and three of the resistors are 820 ohms, 750 ohms, and 470 ohms, you can use the formula to find the value of the fourth resistor, R4:

1 / 120 = 1 / 820 + 1 / 750 + 1 / 470 + 1 / R4

Solve for R4:

1 / R4 = 1 / 120 - (1 / 820 + 1 / 750 + 1 / 470)

R4 = 1 / (1 / 120 - (1 / 820 + 1 / 750 + 1 / 470))

3. Characteristics of a parallel circuit:

- Components are connected in such a way that there are multiple paths for the current to flow.

- The voltage across each component is the same.

- The total resistance of the circuit is less than the smallest individual resistance.

- Current divides among the branches, and the sum of the currents through each branch equals the total current.

- Adding more branches with resistors reduces the total resistance of the circuit.