šŸ”¹ Question 4 Three resistors 2 Ī©, 3 Ī©, and 5 Ī© are connected in series across a 20 V battery. Find the total current flowing through the circuit. šŸ”¹ Question 5 In the same circuit as Question 4, find the voltage drop across the 3 Ī© resistor. šŸ”¹ Question 6 Two resistors, R1=8 Ī© and R2=4 Ī©, are connected in parallel, and the combination is connected in series with a 2 Ī©resistor. The circuit is connected to a 24 V battery. Calculate: a) The total resistance b) The total current c) The power dissipated in the 4 Ī©resistor šŸ”¹ Question 7 Three resistors are connected in parallel. Two of them have values 3 Ī© and 6 Ī©. The total resistance is 1.5 Ī©. Calculate the value of the third resistor.

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  1. Calculate the total resistance of the series circuit.

    For resistors connected in series, the total resistance RtotalR_{\text{total}} is the sum of individual resistances.

    Rtotal=R1+R2+R3R_{\text{total}} = R_1 + R_2 + R_3 Rtotal=2ā€‰Ī©+3ā€‰Ī©+5ā€‰Ī©R_{\text{total}} = 2 \, \Omega + 3 \, \Omega + 5 \, \Omega Rtotal=10ā€‰Ī©R_{\text{total}} = 10 \, \Omega

  2. Use Ohm's Law to find the total current flowing through the circuit.

    Ohm's Law states V=IRV = I R, where VV is the total voltage, II is the total current, and RR is the total resistance.

    Itotal=VtotalRtotalI_{\text{total}} = \frac{V_{\text{total}}}{R_{\text{total}}} Itotal=20ā€‰V10ā€‰Ī©I_{\text{total}} = \frac{20 \, \text{V}}{10 \, \Omega} Itotal=2ā€‰AI_{\text{total}} = 2 \, \text{A}

    The total current flowing through the circuit is 2Ā A\boxed{\text{2 A}}.

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