To **calculate the output voltage of a capacitor**, multiply the initial voltage by the exponential of the negative ratio of time to the product of resistance and capacitance.

## Capacitor Voltage Calculator

Enter any 2 values to calculate the missing variable

The **Capacitor Output Voltage Calculator** aids in finding the voltage across a capacitor over time. In an RC circuit, a capacitor charges and discharges exponentially depending on the resistance and capacitance. This is crucial for timing circuits, filters, and energy storage applications.

The formula utilizes the time constant, a product of resistance and capacitance, to describe how quickly a capacitor charges or discharges.

**Formula:**

Contents

`$V(t) = V_0 \times e^{\left(-\frac{t}{R \cdot C}\right)$`

Symbol | Description |
---|---|

$V(t)$ | Voltage across the capacitor at time $t$ (in volts) |

$V_0$ | Initial voltage across the capacitor (in volts) |

$t$ | Time elapsed (in seconds) |

$R$ | Resistance in the circuit (in ohms) |

$C$ | Capacitance of the capacitor (in farads) |

**Solved Calculations:**

**Example 1:****Scenario:** A capacitor with an initial voltage of 12V is connected in a circuit with 5 kΩ resistance and 200 µF capacitance. Calculate the voltage across the capacitor after 3 seconds.

Step |
Calculation |
---|---|

Initial Voltage ($V_0$) | 12V |

Resistance ($R$) | 5000 ohms |

Capacitance ($C$) | 200 µF (0.0002 F) |

Time ($t$) | 3 seconds |

Voltage Calculation |
$V(t) = 12 \times e^{\left(-\frac{3}{5000 \times 0.0002}\right)}$ |

Result |
$V(t) \approx 2.2V$ |

**Answer:** The voltage across the capacitor after 3 seconds is approximately **2.2 volts**.

**Example 2:****Scenario:** A capacitor with an initial voltage of 5V is connected with a resistance of 2 kΩ and capacitance of 100 µF. Find the voltage after 4 seconds.

Step |
Calculation |
---|---|

Initial Voltage ($V_0$) | 5V |

Resistance ($R$) | 2000 ohms |

Capacitance ($C$) | 100 µF (0.0001 F) |

Time ($t$) | 4 seconds |

Voltage Calculation |
$V(t) = 5 \times e^{\left(-\frac{4}{2000 \times 0.0001}\right)}$ |

Result |
$V(t) \approx 1.84V$ |

**Answer:** The voltage across the capacitor after 4 seconds is approximately **1.84 volts**.

**What is a Capacitor Output Voltage Calculator?**

A **capacitor output voltage calculator** is a prerequisite tool for calculating the voltage across a capacitor in various configurations, such as in series or parallel circuits.

Capacitors are essential components in electrical and electronic circuits, often used for storing and releasing energy, filtering signals, or stabilizing voltage.

When capacitors are in a series or parallel arrangement, their voltage behaves differently. For instance, in a **series capacitor arrangement**, the total voltage is the sum of the voltages across each capacitor.

In contrast, for **parallel capacitors**, the voltage across all capacitors remains the same. You can use an online calculator or specialized formulas to find these values efficiently.

Thus, to calculate the **output voltage of a capacitor**, it’s crucial to consider the input parameters like capacitance, charge, and initial conditions. If you know the charge and capacitance, you can derive the voltage using standard formulas without needing complex calculations manually.

**Final Words:**

In short, to calculate the capacitor’s output voltage is essential for designing and troubleshooting circuits. With the right tools, you can quickly determine voltage values and ensure your circuit operates correctly.