?in a circuit if two resistor of 5 ohm and 10 ohm are connected in series .compare the current passing through two resistor?

Question

Answer

As both the resistors are  in series so, current passing through both the conductor is same

Answer

Same current

Answer

If they are connected in series than than same current pass from both resistor

Answer

Electric current in series combination is constant so both have same current

Answer

Comparison of Current Passing Through Two Resistors in a Series Circuit

To understand the comparison of current passing through two resistors connected in series, we need to consider the properties of series circuits and Ohm's law.

Properties of a Series Circuit:
1. The components in a series circuit are connected end to end, forming a single path for the flow of current.
2. The current passing through each component in a series circuit is the same.
3. The total resistance in a series circuit is the sum of the individual resistances.

Ohm's Law:
Ohm's law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance.

Explanation:
In the given circuit, two resistors of 5 ohm and 10 ohm are connected in series. Let's assume that the total voltage across the circuit is V volts.

1. Calculation of Total Resistance (R_total):
The total resistance in a series circuit is the sum of the individual resistances. Therefore, the total resistance (R_total) is calculated as R_total = R₁ + R₂ = 5 ohm + 10 ohm = 15 ohm.

2. Application of Ohm's Law:
According to Ohm's law, the current (I) passing through a resistor can be calculated using the formula I = V/R, where V is the voltage across the resistor and R is the resistance.

For the 5 ohm resistor:
Using Ohm's law, I₁ = V/R₁ = V/5 ohm.

For the 10 ohm resistor:
Using Ohm's law, I₂ = V/R₂ = V/10 ohm.

3. Comparison of Current:
Since the resistors are connected in series, the same current (I) flows through both resistors. Therefore, I₁ = I₂ = I.

4. Calculation of Current:
To calculate the value of current (I), we need to know the voltage (V) across the circuit. Once the voltage is known, we can substitute the values of R₁ and R₂ to calculate the current using the formulas derived above.

5. Conclusion:
In a series circuit, the current passing through each resistor is the same. Therefore, the current passing through the 5 ohm resistor and the 10 ohm resistor will be equal.

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