Initially, a single resistor R1 is wired to a battery.Then resistor R2 is added in parallel. Are (a) the potential difference across R1 and (b) the current i1 through R1 now more than, less than, or the same as previously? (c) Is the equivalent resistance R12 of R1 and R2 more than, less than, or equal to R1? (d) Is the total current through R1 and R2 together more than, less than, or equal to the current through R1 previously?

(a) Suppose two resistors are connected in parallel with resistances Rị and R2 measured in Ohms (N). The total resistance R is given by 1 1 1 R R1 R2 Suppose R1 is increasing at a rate of 1/4 2/s and R2 is increasing at a rate of 1/16 N/s. At what rate is R changing when R1 = 1/2 N and R2 = 1/4 N. (b) Car A is traveling North at a rate of 60 mi/hr, car B is traveling West at a rate of 45 mi/hr. The cars are on straight roads approaching an intersection point. At what rate is the distance between the cars changing when Car A is 3 miles from the intersection and Car B is 4 miles from the intersection.

Two resistances, R₁ and R₂, are connected in series across a 12-V battery. The current increases by 0.24 A when R₂ is removed, leaving R₁ connected across the battery. However, the current increases by just 0.090 A when R₁ is removed, leaving R₂ connected across the battery. Find (a) R₁ and (b) R₂. R₂ (a) Number (b) Number R₁ ww 41 V remove R₂ + Units Units V remove R₁ ¶ R₂ www 12 + V

Two resistances, R₁ and R₂, are connected in series across a 12-V battery. The current increases by 0.18 A when R₂ is removed, leaving R₁ connected across the battery. However, the current increases by just 0.055 A when R₁ is removed, leaving R₂ connected across the battery. Find (a) R₁ and (b) R₂. (a) Number (b) Number R₁ ww 11 remove R₂ Units Units R₁ V ◄► R₂ remove R₁ R₂ www 12 V