Three 45 Ω light bulbs and three 65 Ω light bulbs are connected in series. (a) What is the total resistance of the circuit? (b) What is the total resistance if all six are wired in parallel?

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Answer:

(a) 330 ohm in series

(b) 8.866 ohm in parallel

Explanation:

series resistance is the sum of all individual resistance.

R=R1+R2+R3+...+Rn

R=3*45+3*65=330 ohm

now for parallel use relation

1/R=1/R1 + 1/R2 +1/R3 +1/Rn

1/R=1/45 + 1/45 + 1/45 + 1/65 + 1/65 1/65

R =8.866 ohm

(a) The total resistance of the circuit330 ohm in series

(b) The total resistance if all six are wired is = 8.866 ohm in parallel

What is Circuit?

In electronics, a circuit is refer to a closed path that allows electricity to flow from one point to another. Also, It may include various electrical components, such as transistors, resistors, and also capacitors, but they flow is unimpeded by a gap or break in the circuit.

(A) When the series resistance is the sum of all individual resistance.

Then, R=R1+R2+R3+...+Rn

Therefore, R=3*45+3*65=330 ohm

(B) Now, When the resistance if all six are wired in parallel use relation

After that, 1/R=1/R1 + 1/R2 +1/R3 +1/Rn

Then, 1/R=1/45 + 1/45 + 1/45 + 1/65 + 1/65 1/65

Thus, R =8.866 ohm

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