P28 092

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92. The resistor by the letter i is above three other resistors; together, these four resistors are equivalent to

a resistor R = 10 Ω (with current i). As if we were presented with a maze, we find a path through R
that passes through any number of batteries (10, it turns out) but no other resistors, which – as in any
good maze – winds “all over the place.” Some of the ten batteries are opposing each other (particularly
the ones along the outside), so that their net emf is only

E = 40 V. The current through R is then

i =

E/R = 4.0 A, and is directed upward in the figure.


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