Question

До ділянки кола яка містить два резистори подано напругу 24В коли резистори з'єднані послідовно сила струму в ділянці дорівнює 0.6А а коли паралельно 3.2 А визначте опір кожного резистора) будь ласка допоможіть дуже треба

Answer 1

Ответ:

10 и 30 Ом

Объяснение:

составим систему уравнений

(R1+R2)=U / I1

R1*R2 / (R1+R2)=U / I2

(R1+R2)=24/0.6

R1*R2 / (R1+R2)=24/3.2

(R1+R2) = 40                          R1=40-R2

R1*R2 / (R1+R2)=7.5

R1*R2 /40=7.5

R1*R2=300

(40-R2)*R2=300

R2^2  - 40R2 +300=0

Корни квадратного уравнения и есть искомые резисторы

R2=30 Ом

R1= 10 Ом

Answer 2

Calculation of Resistance in Series

When two resistors are connected in series, the total resistance can be calculated by summing the individual resistances. In this case, the voltage across the circuit is given as 24V and the current flowing through the circuit is 0.6A.

To find the resistance of each resistor, we can use Ohm's Law, which states that resistance (R) is equal to voltage (V) divided by current (I). Mathematically, this can be expressed as:

R = V / I

Let's calculate the resistance of each resistor when they are connected in series.

1. Resistance of the first resistor (R1): - Voltage (V1) = 24V - Current (I1) = 0.6A - Using Ohm's Law: R1 = V1 / I1

2. Resistance of the second resistor (R2): - Voltage (V2) = 24V - Current (I2) = 0.6A - Using Ohm's Law: R2 = V2 / I2

Calculation of Resistance in Parallel

When two resistors are connected in parallel, the total resistance can be calculated using the formula:

1/R_total = 1/R1 + 1/R2

In this case, the current flowing through the circuit is given as 3.2A.

Let's calculate the resistance of each resistor when they are connected in parallel.

1. Resistance of the first resistor (R1): - Current (I1) = 3.2A - Using Ohm's Law: R1 = V / I1

2. Resistance of the second resistor (R2): - Current (I2) = 3.2A - Using Ohm's Law: R2 = V / I2

Calculation Results

Now, let's calculate the resistance of each resistor in both series and parallel configurations.

1. Series Configuration: - Resistance of the first resistor (R1) = (24V / 0.6A) - Resistance of the second resistor (R2) = (24V / 0.6A)

2. Parallel Configuration: - Resistance of the first resistor (R1) = (24V / 3.2A) - Resistance of the second resistor (R2) = (24V / 3.2A)

Please note that the actual numerical values for the resistances cannot be determined without knowing the specific values of the voltage and current. However, the formulas provided above can be used to calculate the resistance of each resistor in both series and parallel configurations.