Series Circuit Current Calculation

To find the current flowing through the circuit, we first need to determine the total resistance and then apply Ohm's Law.

Calculate Total Resistance

The resistors are connected in series. The total resistance ($R_{total}$) in a series circuit is the sum of the individual resistances.

Given:

• Resistor 1 ($R_1$): $5 \, \Omega$
• Resistor 2 ($R_2$): $15 \, \Omega$

The formula for total resistance in series is:

$R_{total} = R_1 + R_2$

Substituting the values:

$R_{total} = 5 \, \Omega + 15 \, \Omega = 20 \, \Omega$

Calculate Current using Ohm's Law

Ohm's Law states the relationship between voltage ($V$), current ($I$), and resistance ($R$) as $V = I \times R$. To find the current ($I$), we rearrange the formula to $I = \frac{V}{R}$.

Given:

• Battery Voltage ($V$): $10 \, \text{V} $
• Total Resistance ($R_{total}$): $20 \, \Omega$

Applying Ohm's Law:

$I = \frac{V}{R_{total}}$

Substituting the values:

$I = \frac{10 \, \text{V}}{20 \, \Omega} = 0.5 \, \text{A}$

Therefore, the current flowing through the circuit is 0.5 A.