A circuit consisting of three ideal batteries with voltages ?1,E1, ?2,E2, and ?3,E3, and three ideal resistors with resistances ?1,R1, ?2,R2, and ?3,R3, is shown in the figure. Calculate the current ?PIP through point P. Let the sign of the current correspond to its direction, with "up" beingpositive.

?1=20.5V,?2=12.0V,?3=30.0VE1=20.5V,E2=12.0V,E3=30.0V

?1=1.70k?,?2=12.5k?,?3=8.25k?

A circuit consisting of three ideal batteries with voltages 31. 32, and 33, and three ideal resistors with resistances R1, R2, and R3, is shown in the gure. Calculate the current Ip through point P. Let the sign of the current correspond to its direction, with \"up" being positive. s. = 20.5 v. s; =12.(:1'1r.s3 = 30.0v R. 21.70k1o. R2 = 12.5 to. R3 2 3.25m