https://file.aiquickdraw.com/mathbot/file/1730751977497z4b2ppr0.jpg

Let's go through each question in detail, step by step.

### Given Formula
The relationship between current (\(I\)), charge (\(Q\)), and time (\(t\)) is:
\[
I = \frac{Q}{t}
\]
where:
- \( I \) is the current in amperes (A),
- \( Q \) is the charge in coulombs (C),
- \( t \) is the time in seconds (s).

We'll use this formula and rearrange it as needed to solve each question.

---

### Question 1
**Calculate the current when 80C of charge flows in 16s.**

Using the formula:
\[
I = \frac{Q}{t} = \frac{80 \, \text{C}}{16 \, \text{s}} = 5 \, \text{A}
\]

**Answer:** The current is \( 5 \, \text{A} \).

---

### Question 2
**A charge of 96C flows in a wire carrying a current of \( A \). Calculate how long it takes for this amount of charge to flow.**

To find time (\(t\)):
\[
t = \frac{Q}{I} = \frac{96 \, \text{C}}{I}
\]
However, since the current (\(I\)) is not provided, we cannot calculate \(t\) without this information.

**Answer:** Additional information (the current) is needed to solve this question.

---

### Question 3
**Calculate the current when 100C of charge flows in 20s.**

Using the formula:
\[
I = \frac{Q}{t} = \frac{100 \, \text{C}}{20 \, \text{s}} = 5 \, \text{A}
\]

**Answer:** The current is \( 5 \, \text{A} \).

---

### Question 4
**In an investigation, a student passed a current of 0.6A through copper sulfate solution for 300s. Calculate the charge flow through the solution.**

To find the charge (\(Q\)):
\[
Q = I \times t = 0.6 \, \text{A} \times 300 \, \text{s} = 180 \, \text{C}
\]

**Answer:** The charge flow through the solution is \( 180 \, \text{C} \).

---

### Question 5
**A student connects a resistor to a cell for 60 seconds. The current through the resistor is 0.97A. Calculate the charge flow to 2 significant figures.**

Using the formula:
\[
Q = I \times t = 0.97 \, \text{A} \times 60 \, \text{s} = 58.2 \, \text{C}
\]
Rounded to 2 significant figures:
\[
Q \approx 58 \, \text{C}
\]

**Answer:** The charge flow is \( 58 \, \text{C} \).

---

### Question 6
**The circuit is connected for 300s. The total current in the circuit stays at 0.56A. Calculate the charge flow.**

Using the formula:
\[
Q = I \times t = 0.56 \, \text{A} \times 300 \, \text{s} = 168 \, \text{C}
\]

**Answer:** The charge flow is \( 168 \, \text{C} \).

---

### Question 7
**After 0.10 seconds, the bulb works at its normal brightness, what is the current at this point? The bulb works at this brightness for 30 seconds, before being switched off. Calculate the charge that flows through the bulb during this time. Give the unit.**

To answer this, we need to interpret the graph.

1. From the graph, at \( t = 0.10 \) seconds, the current appears to be around \( 3.5 \, \text{A} \).
2. The bulb remains at this current for 30 seconds.

Using \( Q = I \times t \):
\[
Q = 3.5 \, \text{A} \times 30 \, \text{s} = 105 \, \text{C}
\]

**Answer:** The charge that flows through the bulb is \( 105 \, \text{C} \).

---

Do you want further details on any specific question, or have any questions about the solutions? 

### Related Practice Questions
1. If a current of 4 A flows through a wire for 15 seconds, how much charge has passed through the wire?
2. A charge of 50 C flows through a circuit in 10 seconds. What is the current in the circuit?
3. How long does it take for a current of 2 A to transfer 100 C of charge?
4. If a current of 0.8 A flows through a solution for 250 seconds, how much charge flows through?
5. A current of 0.45 A flows for 75 seconds. Calculate the charge flow to two significant figures.

### Tip
Remember to check units and convert where necessary to avoid calculation errors, especially with time and current values.

Calculate the current when 80C of charge flows in 16s. Calculate the time for 96C of charge with unknown current. Calculate the current for 100C of charge in 20s. Calculate the charge flow through a solution when current is 0.6A for 300s. Calculate the charge flow for a resistor with current 0.97A over 60s. Calculate the charge flow for a circuit connected at 0.56A for 300s. Calculate the charge flow through a bulb at 3.5A over 30s.

Learn how to calculate current and charge flow in various electrical circuit problems using the formula I = Q / t. This guide covers multiple scenarios with step-by-step solutions for determining current, time, and charge, suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation