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    Two resistors of 2Ω each are connected in series to a battery of 4 V . The current in Ampere flowing through the resistors will be:
    Question

    Two resistors of 2Ω each are connected in series to a battery of 4 V . The current in Ampere flowing through the resistors will be:

    A.

    1/2

    B.

    1

    C.

    4

    D.

    2

    Correct option is B

    ​The correct answer is (b) 1

    Explanation:

    When two resistors are connected in series, the total resistance (R_total) is the sum of the individual resistances.

    Given:

    • Resistance of each resistor = 2 Ω
    • Battery voltage = 4 V
    • Rtotal=2 Ω+2 Ω=4 ΩR_{\text{total}} = 2 \, \Omega + 2 \, \Omega = 4 \, \Omega​​

    Now, we can calculate the current using Ohm's Law:

                                     I=VRI = \frac{V}{R}​

    Where:

    • I is the current in amperes,
    • V is the voltage (4 V),
    • R is the total resistance (4 Ω).

    Substituting the values:

    I=4 V4 Ω=1 AI = \frac{4 \, \text{V}}{4 \, \Omega} = 1 \, \text{A}​​

    So, the current flowing through the resistors is 1 Ampere.

    Information Booster:

    Series Connection: In a series connection, the current is the same through all components, and the total resistance is the sum of the individual resistances.

    Ohm's Law: 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) of the conductor.

                                                  I=VRI = \frac{V}{R}​​

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