Two resistors, R1=3.00 Ωand R2=5.00 Ω, are connected in series with a battery and an ammeter, as

step 1 As we all know that from Oms law, I can write the value of current is equal to V by R equivalent

Two resistors, R1=3.00 Ωand R2=5.00 Ω, are connected in...

Two resistors, $R_{1}=3.00 \Omega$ and $R_{2}=5.00 \Omega$, are connected in series with a battery and an ammeter, as shown in the figure. The battery supplies $V_{e m f}=8.00 \mathrm{~V},$ and the ammeter has the resistance $R_{\mathrm{A}}=1.00 \Omega$. What is the current measured by the ammeter? a) $0.500 \mathrm{~A}$ b) $0.750 \mathrm{~A}$ c) $0.889 \mathrm{~A}$ d) $1.00 \mathrm{~A}$ e) $1.50 \mathrm{~A}$

Two resistors, $R_{1}=3.00 \Omega$ and $R_{2}=5.00 \Omega$, are connected in series with a battery and an ammeter, as shown in the figure. The battery supplies $V_{e m f}=8.00 \mathrm{~V},$ and the ammeter has the resistance $R_{\mathrm{A}}=1.00 \Omega$. What is the current measured by the ammeter?
a) $0.500 \mathrm{~A}$
b) $0.750 \mathrm{~A}$
c) $0.889 \mathrm{~A}$
d) $1.00 \mathrm{~A}$
e) $1.50 \mathrm{~A}$

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Key Concepts

Series Circuit

In a series circuit, electrical components are connected end-to-end so that the same current flows through each component. This concept is important because the total resistance of the circuit is simply the sum of the individual resistances, which directly influences the overall current according to Ohm's law.

Equivalent Resistance

Equivalent resistance is the single resistance that can replace a network of resistors without changing the current or voltage in the circuit. In series circuits, it is calculated by adding the resistances of all components, including any additional resistances such as those introduced by measuring instruments.

Ohm's Law

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance (I = V/R). This principle is fundamental in analyzing circuits, as it allows for the calculation of the current once the total voltage and equivalent resistance are known.

Internal Resistance of Measuring Devices

Measuring devices like ammeters have their own internal resistance, which can affect the circuit under test by adding to the total resistance. When calculating the circuit current, it is essential to include this resistance to obtain an accurate measurement.

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