Master Kirchoff's Laws

Kirchoff's current law (KCL) states that in any electrical network, the algebraic sum of the currents meeting at a point is zero.

Kirchoff's voltage law (KVL) states that the algebraic sum of the products of currents and resistances in each of the conductors in any closed path (or mesh) in a network plus the algebraic sum of the emfs in that path is zero.

The assumption made for KCL is that incoming current is positive and outgoing current is negative.

<p>The assumption made for KVL is that the rise in voltage (if we go from the negative terminal of the battery to the positive terminal) is positive, and the fall in voltage (if we go from the positive terminal of the battery to the negative terminal) is negative.</p> Signup and view all the answers

<p>The assumption made for KVL is that if we go through the resistor in the same direction as the current, there is a fall in potential, hence this voltage is taken as negative.</p> Signup and view all the answers

<p>Kirchoff's current law states that in any electrical network, the algebraic sum of the currents meeting at a point is zero. It can be represented mathematically as $\sum_{i=1}^{n} I_{i} = 0$, where $I_{i}$ represents the individual currents meeting at the point.</p> Signup and view all the answers

<p>Kirchoff's voltage law states that the algebraic sum of the products of currents and resistances in each of the conductors in any closed path (or mesh) in a network plus the algebraic sum of the emfs in that path is zero. It can be represented mathematically as $\sum_{i=1}^{n} (I_{i} \cdot R_{i}) + \sum_{j=1}^{m} E_{j} = 0$, where $I_{i}$ represents the currents in the conductors, $R_{i}$ represents the resistances in the conductors, and $E_{j}$ represents the emfs in the path.</p> Signup and view all the answers

<p>The assumptions made in Kirchoff's current law (KCL) are: incoming current is considered positive and outgoing current is considered negative at a junction or node.</p> Signup and view all the answers

<p>The assumptions made in Kirchoff's voltage law (KVL) are: rise in voltage (if we go from the negative terminal of the battery to the positive terminal) is considered positive, fall in voltage (if we go from the positive terminal of the battery to the negative terminal) is considered negative, and if we go through the resistor in the same direction as the current, there is a fall in potential, hence this voltage is taken as negative.</p> Signup and view all the answers

<p>Kirchoff's voltage law (KVL) is also known as the mesh law because it applies to closed paths or meshes in a network, where a mesh is a loop formed by interconnected components.</p> Signup and view all the answers

<p>Kirchoff's current law (KCL)</p> Signup and view all the answers

<p>Incoming current = positive, Outgoing current = negative</p> Signup and view all the answers

<p>Rise in voltage = positive, Fall in voltage = negative</p> Signup and view all the answers

<p>Kirchoff's voltage law (KVL)</p> Signup and view all the answers

<p>Voltage across resistor in the same direction as current = fall in potential (negative)</p> Signup and view all the answers