Calculate the equivalent resistance of the parallel combination of the 4 and 6 resistors.

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a) The combined resistance of the above circuit. Step 1: Calculate the equivalent resistance of the parallel combination of the 4 Ω and 6 Ω resistors. 1/R_p = (1)/(4 Ω) + (1)/(6 Ω); 1/R_p = (3)/(12 Ω) + (2)/(12 Ω); 1/R_p = (5)/(12 Ω); R_p = 12/5 Ω = 2.4 Ω Step 2: Calculate the total combined resistance (Rtotal) by adding the series resistor (2 Ω) to the parallel equivalent resistance (R_p). Rtotal = 2 Ω + R_p; Rtotal = 2 Ω + 2.4 Ω; Rtotal = 4.4 Ω The combined resistance of the circuit is 4.4 Ω. b) The current flowing through the ammeter. Step 1: Use Ohm's Law (V = I · R) to find the total current (Itotal) flowing from the voltage source, which is measured by the ammeter. Itotal = Vsource/Rtotal; Itotal = (12 V)/(4.4 Ω); Itotal = 120/44 A = 30/11 A Itotal ≈ 2.73 A The current flowing through the ammeter is 2.73 A.

Calculate the equivalent resistance of the parallel combination of the 4 and 6 resistors.

Step-by-step solution

Part a· 2 steps

Calculate the equivalent resistance of the parallel combination of the $4\,\Omega$ and $6\,\Omega$ resistors.

Calculate the total combined resistance ( $R_{total}$ ) by adding the series resistor ( $2\,\Omega$ ) to the parallel equivalent resistance ( $R_p$ ).

Part b· 1 step

Use Ohm's Law ( $V = I \cdot R$ ) to find the total current ( $I_{total}$ ) flowing from the voltage source, which is measured by the ammeter.

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Calculate the equivalent resistance of the parallel combination of the 4 and 6 resistors.

Step-by-step solution

Part a· 2 steps

Calculate the equivalent resistance of the parallel combination of the 4 Ω4\,\Omega4Ω and 6 Ω6\,\Omega6Ω resistors.

Calculate the total combined resistance (RtotalR_{total}Rtotal​) by adding the series resistor (2 Ω2\,\Omega2Ω) to the parallel equivalent resistance (RpR_pRp​).

Part b· 1 step

Use Ohm's Law (V=I⋅RV = I \cdot RV=I⋅R) to find the total current (ItotalI_{total}Itotal​) flowing from the voltage source, which is measured by the ammeter.

Still stuck on this one?

More Physics Questions

Calculate the equivalent resistance of the parallel combination of the $4\,\Omega$ and $6\,\Omega$ resistors.

Calculate the total combined resistance ( $R_{total}$ ) by adding the series resistor ( $2\,\Omega$ ) to the parallel equivalent resistance ( $R_p$ ).

Use Ohm's Law ( $V = I \cdot R$ ) to find the total current ( $I_{total}$ ) flowing from the voltage source, which is measured by the ammeter.