sapling. leaming r the circuit shown to the right, determine the magnitude of th

Question

sapling. leaming r the circuit shown to the right, determine the magnitude of the currents iz, ls, and I passing through batteries 2, 3, and 4, respectively. In each case, determine whether the attery is supplying power or being charged. The batteries and resistors in the circuit are assumed to be ideal and have the following properties E. 28.5 V E. 00 V EI 24.0 V E 1.50 V RI 15.0 Q R2 10.0 Ru 79.0 Number O supplying power A o being charged Number O supplying power A O being charged Number O supplying power A O being charged Map

Explanation / Answer

in the ckt , we have currents as i3 throguh e3,

i2 throguh e2 and i4 through e4

as e2 and e1 are in series, current is same across each of them ( = i2)

so

using KCR, i3    = i4 + i2 ----------------------1

using KVL across left loop

-e3   + e4 - i3R3 = 0

i3R3 = 1.5-24

i3 = -22.5/79

i3 = -0.284 Amps , being Chargeed

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using KVL across right llop

i2R1 + e1 -e2 + I2R2 -e4 = 0

i2( 15 + 10) = 1.5 + 3 - 28.5

i2 = -0.96 A , being charged,

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so i4 = i3-i2

i4 = -0.284 + 0.96

i4 = 0.676 A   , supplying powe

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