Question

Резисторы сопротивлением 5 и 10 ом соединены последовательно. Определите силу тока в цепи, если общее напряжение 30В

Answer 1

$I= \frac{U}{R}$ - сила тока.
При последовательном соединении сопротивление находится так:
R1+R2=R; Подставляем значения R=10 Ом+ 5 Ом = 15 Ом
Тогда сила тока будет равна:
$I=\frac{30}{15}=2$

Ответ: 2 А

Answer 2

Calculating Current in a Series Circuit

To determine the current in the circuit where resistors with resistances of 5 ohms and 10 ohms are connected in series and the total voltage is 30V, we can use Ohm's law and the formula for calculating total resistance in a series circuit.

Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R).

Calculating Total Resistance

The total resistance (R_total) in a series circuit is the sum of the individual resistances.

The formula for calculating total resistance in a series circuit is: R_total = R1 + R2

Where: - R1 = 5 ohms (resistance of the first resistor) - R2 = 10 ohms (resistance of the second resistor)

So, R_total = 5 ohms + 10 ohms = 15 ohms.

Applying Ohm's Law to Calculate Current

Now that we have the total resistance, we can use Ohm's law to calculate the current (I) in the circuit.

Ohm's law formula: I = V / R

Where: - I = Current (in amperes, A) - V = Voltage (in volts, V) - R = Resistance (in ohms, Ω)

Given: - V = 30V (total voltage) - R_total = 15 ohms (total resistance)

Substitute the values into the formula: I = 30V / 15Ω = 2A

Therefore, the current in the circuit is 2 amperes.