Find the equivalent resistance of the circuit The current through each resistor

Question

Find the equivalent resistance of the circuit

The current through each resistor

The voltage across the 8 Ohm resistor

The power generated by the battery

The power dissipated in the 6 Ohm resistor

Find 1. The equivalent resistance of the circuit . 2. The current through each resistor 3. The voltage across the 8 Ohm resistor 4. The power generated by the battery 5. The power dissipated in the 6 Ohm resistor Find the equivalent resistance of the circuit The current through each resistor The voltage across the 8 Ohm resistor The power generated by the battery The power dissipated in the 6 Ohm resistor

Explanation / Answer

1) Here, 4 and 6 ohm resistors are connecetd in parallel

R(4,6) = 4*6/(4+6)

= 2.4 ohms

This, combination is connected in series with 5 ohm

R(4,5,6) = 2.4 + 5

= 7.4 ohms

This comination is parallel with 8 ohms

so, Rnet = 7.4*8/(7.4+8)

= 3.84 ohms <<<<<<<<------------Answer

2) Inet = V/R

= 18/3.84

= 4.68 A

I(8) = Inet*7.4/(7.4+8)

= 4.68*7.4/(7.4+8)

= 2.25 A <<<<<<<<------------Answer

I(5) = Inet - I(8)

= 4.68 - 2.25

= 2.43 A <<<<<<<<------------Answer

I(6) = I(5)*4/(6+4)

= 0.972 A <<<<<<<<------------Answer

I(4) = I(5) - I(6)

= 2.43 - 0.972

= 1.458 A <<<<<<<<------------Answer

3) V(8) = 18 volts (beacause in it connected in parallel)

4) P = V^2/(Rnet)

= 18^2/(3.84)

= 84.4 Watts <<<<<<<<------------Answer

5) P(6) = I(6)^2*6

= 0.972^2*6

= 5.67 Watts <<<<<<<<------------Answer

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