When a 100-Ω Resistor Is Connected to a Battery of Emf

question 63

Multiple Choice

When a 100-Ω resistor is connected to a battery of emf E and internal resistance r, the battery delivers a power P = 0.794 W. When a 200 Ω resistance is connected to same battery it delivers a power P = 0.401 W. What are the emf and internal resistance of the battery?

• A)E = 10 V, r = 5 Ω
• B)E = 4.5 V, r = 4 Ω
• C)E = 18 V, r = 4 Ω
• D)E = 9 V, r = 2 Ω
• E)E = 12 V, r = 6 Ω

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Definitions:

Heterotrophic Anaerobes

Organisms that require organic compounds for food and are capable of living and growing in the absence of molecular oxygen.

Cyanobacteria

Prokaryotic photosynthetic microorganisms that possess chlorophyll and produce oxygen during photosynthesis.

Oxygen

A chemical element with the symbol O and atomic number 8, essential for aerobic respiration in living organisms.

Methane

A potent greenhouse gas with a chemical formula of CH4, produced by anaerobic decomposition of organic matter and widely used as a fuel.