The current in the battery is equal to The potential difference across the 3.00

Question

The current in the battery is equal to

The potential difference across the 3.00 k?? resistor is equal to

The potential difference across the 2.00 k?? resistor is equal to

The potential difference across the 10.0 k?? resistor is equal to

The potential difference across the 20.0 k?? resistor is equal to

The potential difference across the 15.0 k?? resistor is equal to

The current in the 20.0 k?? resistor is equal to

The current in the 10.0 k?? resistor is equal to

The current in the 15.0 k?? resistor is equal to

The power dissipated in the 20.0 k?? resistor is equal to

Please show ALL work. Thank You!

Explanation / Answer

10 and 20 are in series which are in turn parallel wih 15 Kohm

their equivalent resisatnce be R'

R' = (10+20)||15
= 30||15
= 30*15/(30+15)
= 10 Kohm

This 10 Kohm is in series with 2 and 3 Kohm

I through 2 Kohm = I through 3Kohm = I though R'
= 30 /(10+2+3)
= 2 mA

V across 3 Kohm = 2 mA*3 Kohm = 6 V
V across 2 Kohm = 2 mA*2 Kohm = 4 V
V across 15 Kohm = V across series combination of R3 and R4 = 2 mA*R' =2mA*10 Kohm =20 V
V across series combination of 10 and 20 kohm = 20 V
I in 10 KOhm = I in 20 KOhm = 20/ (10+20 ) =0.67 mA
V across 10 KOhm = 0.67 mA*10 kohm = 6.7 V
V across 20 KOhm = 0.67 mA*20 Kohm =13.3 V

I in 15 Kohm = 20 V/15=1.33 mA

P in 20 Kohm = V*I = 13.3 V*0.67mA = 0.87 W

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