Answer :
To calculate the total resistance and current through the 8 ohm resistor in a series circuit with a 30 V battery and resistors with values of 6 ohms, 5 ohms, we can use for calculating total resistance in a series circuit.
How to calculate total resistance ?
- The formula for total resistance in a series circuit is:
makefile
Copy code
Rtotal = R1 + R2 + R3 + ...
where R1, R2, R3, etc. are the individual resistance values.
- Using this formula, we can calculate the total resistance of the circuit as:
makefile
Copy code
Rtotal = 6 ohms + 5 ohms + 8 ohms
Rtotal = 19 ohms
- To calculate the current through the 8 ohm resistor, we can use Ohm's Law, which states that the current (I) through a resistor is equal to the voltage (V) across the resistor divided by the resistance (R) of the resistor:
css
Copy code
I = V / R
- In this case, the voltage across the entire series circuit is 30 V, and the resistance of the 8 ohm resistor is 8 ohms. So we can calculate the current through the 8 ohm resistor as:
css
Copy code
I = V / R
I = 30 V / 19 ohms
I = 1.58 A (rounded to two decimal places)
Therefore, the total resistance of the circuit is 19 ohms, and the current through the 8 ohm resistor is 1.58 A.
To know more about total resistance , check out :
https://brainly.com/question/28135236
#SPJ1
