**Understanding the Relationship between Voltage, Current, and Resistance****Prompt:**A battery with a fixed voltage is attached to different resistances. Which graph best shows how the current will change with different resistances?**Graphs Description:**1. **Graph 1 (Top-Left):** - X-axis: Resistance (in ohms, a range from 0 to around 4.5) - Y-axis: Current (in amperes, a range from 0 to 20) - The graph is an upward-curving parabola starting at the origin and increasing sharply towards the end.2. **Graph 2 (Second from Top-Left):** - X-axis: Resistance (in ohms, a range from 0 to 5) - Y-axis: Current (in amperes, a range from 0 to 20) - The graph shows a horizontal line at a constant current value of around 20 amperes with green dots at regular intervals.3. **Graph 3 (Second from Bottom-Left):** - X-axis: Resistance (in ohms, a range from 0 to around 4.5) - Y-axis: Current (in amperes, a range from 0 to 20) - The graph is a straight line starting at the origin and moving linearly upwards.4. **Graph 4 (Bottom-Left):** - X-axis: Resistance (in ohms, a range from 0 to 5) - Y-axis: Current (in amperes, a range from 0 to 20) - The graph is a downward-curving parabola, starting at around 20 amperes when the resistance is 0 and approaching but never quite reaching 0 amperes as the resistance increases.**Conceptual Explanation:**Ohm's Law is fundamental in understanding the relationship between voltage (V), current (I), and resistance (R). It is mathematically expressed as:\[ I = \frac{V}{R} \]Considering a fixed voltage (V), as the resistance (R) increases, the current (I) should decrease. This relationship is inverse; meaning if resistance increases, current decreases proportionally.**Analysis of Graphs:**1. **Graph 1**: This graph incorrectly shows the current increasing with increasing resistance, which contradicts Ohm's Law.2. **Graph ### Interactive Question:**Question:**A circuit with a certain resistance has different strength batteries attached. Which graph best shows how the current will change with different voltages?1. **Graph A**: A curve that starts at the origin (0,0) and increases exponentially towards higher current values as voltage increases. ![Graph A](data:image/png;base64, ...)2. **Graph B**: A horizontal line indicating constant current regardless of voltage changes. ![Graph B](data:image/png;base64, ...)3. **Graph C**: A straight line passing through the origin, representing a linear relationship between voltage and current. ![Graph C](data:image/png;base64, ...)4. **Graph D**: A decreasing curve that starts high and gradually flattens out as voltage increases. ![Graph D](data:image/png;base64, ...)**Explanation of Graphs:**- **Graph A**: This graph shows an exponential increase in current as voltage increases, implying a non-linear, increasing relationship between current and voltage.- **Graph B**: This graph depicts a scenario where current remains constant irrespective of the voltage applied.- **Graph C**: This graph illustrates a direct proportionality between current and voltage, aligning with Ohm's Law (\( I = \frac{V}{R} \)) for a fixed resistor. As voltage increases, current increases linearly.- **Graph D**: This graph shows a negative exponential relationship, indicating that current decreases as voltage increases, which is not typical for a simple resistive circuit.Consider the characteristics of each graph in relation to Ohm's Law to determine the correct depiction of how the current changes with voltage for a given resistance.

Answered: A battery with a fixed voltage is…

A battery with a fixed voltage is attached to different resistances. Which graph best shows how the current will change with different resistances?

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Question

**Understanding the Relationship between Voltage, Current, and Resistance**

**Prompt:**
A battery with a fixed voltage is attached to different resistances. Which graph best shows how the current will change with different resistances?

**Graphs Description:**

1. **Graph 1 (Top-Left):**
- X-axis: Resistance (in ohms, a range from 0 to around 4.5)
- Y-axis: Current (in amperes, a range from 0 to 20)
- The graph is an upward-curving parabola starting at the origin and increasing sharply towards the end.

2. **Graph 2 (Second from Top-Left):**
- X-axis: Resistance (in ohms, a range from 0 to 5)
- Y-axis: Current (in amperes, a range from 0 to 20)
- The graph shows a horizontal line at a constant current value of around 20 amperes with green dots at regular intervals.

3. **Graph 3 (Second from Bottom-Left):**
- X-axis: Resistance (in ohms, a range from 0 to around 4.5)
- Y-axis: Current (in amperes, a range from 0 to 20)
- The graph is a straight line starting at the origin and moving linearly upwards.

4. **Graph 4 (Bottom-Left):**
- X-axis: Resistance (in ohms, a range from 0 to 5)
- Y-axis: Current (in amperes, a range from 0 to 20)
- The graph is a downward-curving parabola, starting at around 20 amperes when the resistance is 0 and approaching but never quite reaching 0 amperes as the resistance increases.

**Conceptual Explanation:**

Ohm's Law is fundamental in understanding the relationship between voltage (V), current (I), and resistance (R). It is mathematically expressed as:
\[ I = \frac{V}{R} \]

Considering a fixed voltage (V), as the resistance (R) increases, the current (I) should decrease. This relationship is inverse; meaning if resistance increases, current decreases proportionally.

**Analysis of Graphs:**

1. **Graph 1**: This graph incorrectly shows the current increasing with increasing resistance, which contradicts Ohm's Law.
2. **Graph

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