Enter your Source Voltage (Vin) and resistor values (R1, R2, and R3 Load) to calculate Total Current (I1), branch currents I2 and I3, and the voltage drops across R1 and R2 — all grounded in Kirchhoff's Voltage Law, confirming that voltages around any closed loop always sum to zero.
Total Current (I1)
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Current I2
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Current I3
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Voltage across R1
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Voltage across R2
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Voltage across R3
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KVL Sum Verification
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Kirchhoff's Voltage Law states that the algebraic sum of all voltages around any closed loop in a circuit must equal zero. This fundamental principle is based on the conservation of energy in electrical circuits.
In a series circuit, start at any point and trace around the loop, adding voltage drops across resistors as negative values and voltage sources as positive values. The sum should equal zero if KVL is satisfied.
KVL (Kirchhoff's Voltage Law) deals with voltages around closed loops and states their sum equals zero. KCL (Kirchhoff's Current Law) deals with currents at nodes and states that current entering a node equals current leaving it.
KVL is essential for solving complex circuits with multiple loops and components. It provides a systematic method to write equations that can be solved to find unknown voltages and currents throughout the circuit.
Yes, KVL applies to both DC and AC circuits. In AC circuits, you work with phasor representations of voltages and currents, but the fundamental principle that voltage drops sum to zero around any closed loop remains valid.
If KVL doesn't balance (sum doesn't equal zero), it indicates an error in your circuit analysis, such as incorrect sign conventions, missed components, or calculation mistakes. Double-check your work and component values.
Voltage sources are treated as positive when you traverse them from negative to positive terminal, and negative when traversing from positive to negative terminal. This sign convention ensures proper application of KVL.