# PHYSICS 2

Two resistors have resistances R(smaller) and R(larger), where R(smaller) < R(larger). When the resistors are connected in series to a 12.0-V battery, the current from the battery is 1.99 A. When the resistors are connected in parallel to the battery, the total current from the battery is 10.7 A. Determine the two resistances.

1. 👍 0
2. 👎 0
3. 👁 1,173
1. Let the smaller resistance be R1 and the larger R2.

1.99 = 12.0/(R1 + R2)

10.7 = 12/R1 + 12/R2

Solve the simultaneous equations.

R1 + R2 = 6.03
R2 = 6.03 - R1
10.7 = 12/R1 + 12/(6.03 - R1)
10.7*R1*(6.03-R1) = 12(6.03-R1) +12R1
64.51 R1 -10.7 R1^2 = 72.36

1. 👍 0
2. 👎 2

## Similar Questions

1. ### Physics

Thanks for any help :) Four 20 ohm resistors are connected in parallel and the combination is connected to a 20V emf device. The current is: A) 0.25A B) 1.0 A C) 4.0 A D) 5.0 A E) 100 E Parallel circuits: I know that the voltage

2. ### Science halp

6.Two cars with different masses travel at the same speed down a hill toward a stop sign. What will happen when both cars apply brakes at the same time to stop? * A. The car with the smaller mass will require less force to stop

3. ### Calculus 1

If two resistors with resistances R1 and R2 are connected in parallel, as in the figure below, then the total resistance R, measured in ohms (Ω), is given by 1/R= 1/R1+ 1/R2. If R1 and R2 are increasing at rates of 0.3 Ω/s and

4. ### Physics (URGENT)

Three wire-wound resistors have the following values: 30 ohms, 80 ohms, and 100 ohms. Each resistor has a voltage rating of 100V. If these three resistors are connected in series, can they be connected to a 240V circuit without

1. ### math

A string is cut into two parts.The ratio of lengths of the string and the smaller part is six times the ratio of lengths of the smaller and the larger parts .Find the ratio of the lenghths of the larger and the smaller parts of

2. ### Calculus 1

If two resistors with resistances R1 and R2 are connected in parallel, as in the figure below, then the total resistance R, measured in ohms (Ω), is given by 1/R= 1/R1+ 1/R2. If R1 and R2 are increasing at rates of 0.3 Ω/s and

3. ### math

Two right circular cone, one upside down in the other. The two bases are parallel. The vertex of the smaller cone lies at the center of the larger cone’s base. The larger cone’s height and base radius are 12 and 16 ft,

4. ### physics question

A resistance box has the following components and tolerances: 10 resistors each of 100k§Ù ¡¾ 0.05% 10 resistors each of 10k§Ù ¡¾ 0.05% 10 resistors each of 1k§Ù ¡¾ 0.05% 10 resistors each of 100§Ù ¡¾ 0.1% 10

1. ### apex geometry

Hannah constructed two similar circles as seen in the image below. If the arc length of the larger circle is , which of the following would be true? A. The arc length of the smaller circle is proportional to the radius of the

2. ### Physics

In a hydraulic lift, if the radius of the smaller piston is 2 cm and the radius of the larger piston is 20 cm, what weight can the larger piston support when a force of 250 N is applied to the smaller piston? d = diameter of

3. ### Mathematics

Four times the larger of two consecutive even integers is ten less than the smaller What is the larger of these two numbers

4. ### Physics

1)Four resistors of 10.0 each are connected in parallel. A combination of four resistors of 10.0 each is connected in series along with the parallel arrangement. What is the equivalent resistance of the circuit? A)80.0 B)40.4