For the circuit shown in the figure(Figure 1) find the current through each resi

Question

For the circuit shown in the figure(Figure 1) find the current through each resistor. Express your answers using two significant figures. Enter your answers numerically separated by commas. I_2 ohm, I_4 ohm, I_6 ohm, I_12 ohm, I_8 ohm = ______ For the circuit shown in the figure find the potential difference across each resistor. Express your answers using two significant figures. Enter your answers numerically separated by commas. Delta V_2 ohm, Delta V_4 ohm, Delta V_6 ohm, Delta V_12 ohm, Delta V_8 ohm, = _____

Explanation / Answer

=>here 6 and 12 ohms are parallel connection

resistance R=6*12/6+12=4 ohms

=> resistance R and 4 ohms are series connection

resistance R'=4+4 =8 ohms

resistance R' and 8 ohms are parallel connection

resistance R"=8*8/8+8=4 ohms

resistance R" and 2 ohms are series connection

the equivalent resistance Req=2+4=6 ohms

NOOW WE FIND THE CURRENT ON THE EACH RESISTANCE

THE total current i=V/Req=24/6=4 A

the current on resistance 2 ohms =>I1=4 A

the current on resistance 8 ohms=>I2=8*4/8+8=2 A

the current on resistance 4 ohms=>I3=2 A

the current on resistance 6 ohms =>I4=6*2/6+12=0.67 A

the current on resistance 12 ohms =>I5=12*2/6+12=1.33 A

NOW WE FIND THE POTENTIAL DIFFERENCE ON EACH RESISTANCE

the voltage on resistance 2 ohms=>v1=2*24/2+4=8 v

the voltage on resistance 8 ohms=>V2=4*24/2+4=16 v

the voltage on resistance 4 ohms=>v3=4*16/4+4=8 v

the voltage on resistance 6 ohm=>V4=8v

the voltage on resistance 12 ohms=>V5=8 v

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