The image above represents depth of penetration.

To compute for depth of penetration, two essential parameters are needed and these parameters are **Conductivity (σ) **and **frequency (f).**

The formula for calculating for depth of penetration:

d = ^{503.8} / _{√(σf)}

Where:

d = Depth of Penetration

σ = Conductivity

f = Frequency

Let’s solve an example;

Find the depth of penetration when the conductivity is 12 and the frequency is 24.

This implies that;

σ = Conductivity = 12

f = Frequency = 24

d = ^{503.8} / _{√(σf)}

d = ^{503.8} / _{√(12(24))}

d = ^{503.8} / _{√(288)}

d = ^{503.8} / _{16.97}

d = 29.68

Therefore, the **depth of penetration** is **29.68.**

**Calculating the Conductivity when the Depth of Penetration and the Frequency is Given.**

σ = ^{(503.8 / d)2} / _{f}

Where;

σ = Conductivity

d = Depth of Penetration

f = Frequency

Let’s solve an example;

Find the conductivity when the depth of penetration is 20 and the frequency is 15.

This implies that;

d = Depth of Penetration = 20

f = Frequency = 15

σ = ^{(503.8 / d)2} / _{f}

σ = ^{(503.8 / 20)2} / _{15}

σ = ^{(25.19)2} / _{15}

σ = ^{634.53} / _{15}

σ = 42.30

Therefore, the **conductivity **is **42.30.**

**Calculating the Frequency when the Depth of Penetration and the Conductivity is Given.**

f = ^{(503.8 / d)2} / _{σ}

Where;

f = Frequency

d = Depth of Penetration

σ = Conductivity

Let’s solve an example;

Find the frequency when the depth of penetration is 32 and the conductivity is 10.

This implies that;

d = Depth of Penetration = 32

σ = Conductivity = 10

f = ^{(503.8 / d)2} / _{σ}

f = ^{(503.8 / 32)2} / _{10}

f = ^{(15.74)2} / _{10}

f = ^{247.8} / _{10}

f = 24.78

Therefore, the **frequency **is **24.78.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the depth of penetration.

To get the answer and workings of the depth of penetration using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

To get access to the **professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Geology**** **under **Add-on****.**

Now, Click on **Electromagnetic Method **under **Geology**

Now, Click on **Depth of Penetration **under **Electromagnetic Method**

The screenshot below displays the page or activity to enter your values, to get the answer for the depth of penetration according to the respective parameters which are the **Conductivity (σ) **and **frequency (f).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Conductivity (σ) **is **12 **and **frequency (f)** is **24**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the depth of penetration and presents the formula, workings and steps too.