Two resistances, r1 and r2, are connected in series across a 12-v battery. the current increases by 0.20 a when r2 is removed, leaving r1 connected across the battery. however, the current increases by just 0.13 a when r1 is removed, leaving r2 connected across the battery. find (a) r1 and (b) r2.

The values of resistance r_1=33.3 ohm and r_2 = 41.7 ohm

The total resistance in series is the sum of the value of the resistances. Applying Ohm's law,

.....(1)

When the resistor r_1 is connected, the current increases by 0.2 A

Apply Ohm's law for the resistance r_1.

......(2)

When the resistor r_2 is connected, the current increases by 0.13 A.

Apply Ohm's law for the resistance r_2.

......(3)

From equations (1) and (2)

Similarly from equations (1) and (3), it can be seen that

From equations (4) and (5),

I=0.16 A

Substituting in equations (2) and (3)

depends on what you mean by "group." for order, it would be coleoptera (beetles). for class, it would be insecta (insects). for phylum, it would be the arthropoda (animals with jointed exoskeletons).

explanation: