Question

equivalent resistance between A and B ​

Answer 1

Answer:

$\boxed{\text{Equivalent Resistance = 15 ohm}}$

Explanation:

$\text{We always start with the outermost circuit.}\\\\\text{In this circuit, the three 2 ohm resistors are connected in series and the}\\ \text{6 ohm resistor is connected to them in parallel.}\\\\\text{Equivalent resistance for three resistors connected in series:}\\\\\boxed{\text{R = R1 + R2 + R3}}\\\\\text{Therefore, R = 2 + 2 + 2}\\\\\boxed{\text{R = 6 ohm}}\\\\\text{Now, for two resistors connected in parallel:}\\\\\boxed{\text{1/R = 1/R1 + 1/R2}}\\\\\text{Therefore, 1/R = 1/6 + 1/6}$

$\boxed{\text{R = 3 ohm}}\\\\\text{Now, in the next circuit, two 3 ohm resistors and one 4 ohm resistor are}\\\text{connected in series and the 10 ohm resistor in connected to them in}\\\text{parallel.}\\\\\text{Equivalent resistance for three resistors connected in series:}\\\\\boxed{\text{R = R1 + R2 + R3}}\\\\\text{Therefore, R = 3 + 3 + 4}\\\\\boxed{\text{R = 10 ohm}}\\\\\text{Now, for two resistors connected in parallel:}\\\\\boxed{\text{1/R = 1/R1 + 1/R2}}$

$\text{Therefore, 1/R = 1/10 + 1/10}\\\\\boxed{\text{R = 5 ohm}}\\\\\text{And lastly, since all three resistors are connected in series:}\\\\\boxed{\text{R = R1 + R2 + R3}}\\\\\text{R = 5 + 5 + 5}\\\\\boxed{\text{Answer: R = 15 ohm}}$

Hope this helps! If it does, feel free to mark it brainliest! Thanks :D