High School

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Two resistors are connected to a 9 V battery as shown in the schematic below. How much current flows through the 3 Ω resistor and the 6 Ω resistor, respectively?

Answer :

3 amps of current flows through the 3-ohm resistor and 1.5 amps of current flows through the 6-ohm resistor.

To determine the current flowing through each resistor, we can use Ohm's Law, which states that current (I) equals voltage (V) divided by resistance (R). The formula is:

[tex]\[ I = \frac{V}{R} \][/tex]

Given that the battery voltage is 9 volts and the resistances are 3 ohms and 6 ohms, respectively, we can calculate the current flowing through each resistor.

For the 3-ohm resistor:

[tex]\[ I_3 = \frac{9 \text{ volts}}{3 \text{ ohms}} = 3 \text{ amps} \][/tex]

For the 6-ohm resistor:

[tex]\[ I_6 = \frac{9 \text{ volts}}{6 \text{ ohms}} = 1.5 \text{ amps} \][/tex]

So, 3 amps of current flows through the 3-ohm resistor and 1.5 amps of current flows through the 6-ohm resistor.

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