Ampere's Circuital Law

📊 advanced

$$\oint \vec{B} \cdot d\vec{l} = \mu_0 I_{\text{enc}}$$

Relates the integrated magnetic field around a closed loop to the electric current passing through the loop.

Variables & Units

$\vec{B}$

Magnetic field

Unit: Tesla ($T$)

$I_{\text{enc}}$

Enclosed current

Unit: Ampere ($A$)

$\mu_0$

Permeability of free space

Unit: $4\pi \times 10^{-7} T \cdot m/A$

Key Information

📐 Derived From

Maxwell's equations (integral form).

💡 Example

Finding the magnetic field inside a long solenoid.

🔧 Applications

Electrical motor design and MRI machines.

⚠️ Constraints

Valid for steady currents.

Ready to start your journey?

Talk to an expert counsellor – absolutely free. We'll help you choose the right program.

Get In Touch

Have questions about programs? Need guidance on which course fits you? Our team responds fast.

Our counsellors help you pick the right program for your exam goal and timeline — completely free of charge.

Our Office

GRAWIO BANJARI INDUSTRIES PRIVATE LIMITED HD 463 WEWORK DLF FORUM, CYBERCITY PHASE III, DLF QE, Dlf Qe

Email Us

Call / WhatsApp

Monday – Saturday 10 AM – 6 PM Open

Sunday Closed

📍 Walk in for free counselling — no appointment needed

Your Name

Email Address

Phone Number

Your Message