Blog

Step-by-step guides to master any subject and solve complex problems

10 Best Physics Videos on Torial: Top Problem Solutions
Physics
December 31, 202515 min read

10 Best Physics Videos on Torial: Top Problem Solutions

Discover the most helpful physics videos on Torial covering everything from magnetic fields and projectile motion to thermal cameras and universe expansion. Each video provides step-by-step solutions to help you master physics concepts.

Read More
How to Calculate the pH of a Buffer Solution After Adding Strong Acid or Base
Chemistry
December 30, 202521 min read

How to Calculate the pH of a Buffer Solution After Adding Strong Acid or Base

Master buffer chemistry with this complete walkthrough of calculating pH changes when strong acids or bases are added to buffer solutions. Learn how to use the Henderson-Hasselbalch equation, track stoichiometric changes, and avoid the common mistakes that trip up students on exams.

Read More
How to Find Eigenvalues and Eigenvectors of a 3×3 Matrix
Math
December 30, 202519 min read

How to Find Eigenvalues and Eigenvectors of a 3×3 Matrix

Complete walkthrough of finding eigenvalues and eigenvectors of a 3×3 matrix. Learn the characteristic polynomial method, how to solve cubic equations, and find eigenvectors through row reduction.

Read More
How to Calculate Allele Frequencies After Natural Selection Using Hardy-Weinberg Equilibrium with Selection Coefficients
Biology
December 29, 202520 min read

How to Calculate Allele Frequencies After Natural Selection Using Hardy-Weinberg Equilibrium with Selection Coefficients

Complete walkthrough of calculating allele frequencies after natural selection using Hardy-Weinberg equilibrium. Learn how to apply selection coefficients, understand fitness values, and predict how populations evolve over time.

Read More
How to Find the Magnetic Field from a Long Straight Current-Carrying Wire Using Ampere's Law
Physics
December 29, 202517 min read

How to Find the Magnetic Field from a Long Straight Current-Carrying Wire Using Ampere's Law

Complete walkthrough of calculating the magnetic field around a long straight wire using Ampere's Law. Learn how to choose the right Amperian loop, apply the law correctly, and understand why symmetry makes this problem solvable without integration.

Read More
How to Calculate Deadweight Loss from a Tax on a Competitive Market
Economics
December 29, 202518 min read

How to Calculate Deadweight Loss from a Tax on a Competitive Market

Complete walkthrough of calculating deadweight loss from a per-unit tax in competitive markets. Learn how to find the new equilibrium, calculate consumer and producer surplus changes, and understand why taxes create efficiency losses even when they raise revenue.

Read More
How to Calculate the Equilibrium Constant Kc from Initial Concentrations and Equilibrium Data
Chemistry
December 29, 202516 min read

How to Calculate the Equilibrium Constant Kc from Initial Concentrations and Equilibrium Data

Complete step-by-step guide to calculating Kc from experimental data in equilibrium chemistry. Learn how to set up ICE tables, solve quadratic equations, and avoid the common mistakes that cost students points on exams.

Read More
How to Calculate Recombination Frequency and Map Distance from a Dihybrid Cross
Biology
December 29, 202515 min read

How to Calculate Recombination Frequency and Map Distance from a Dihybrid Cross

Complete walkthrough of recombination frequency calculations and genetic mapping. Learn how to identify parental and recombinant phenotypes, calculate recombination frequency, convert to map distance, and avoid the common mistakes that trip up genetics students.

Read More
How to Evaluate ∫ x²e^x dx Using Integration by Parts
Calculus
December 29, 202514 min read

How to Evaluate ∫ x²e^x dx Using Integration by Parts

Complete walkthrough of evaluating ∫ x²e^x dx using integration by parts. Learn when to apply the technique twice, how to choose u and dv correctly, and avoid the common mistakes that trip up calculus students.

Read More
How to Find the Range and Maximum Height of a Projectile Launched at an Angle
Physics
December 28, 202513 min read

How to Find the Range and Maximum Height of a Projectile Launched at an Angle

Learn kinematics with this complete walkthrough of projectile motion. Decompose velocity into components, use the kinematic equations, and find both the maximum height and horizontal range of a projectile.

Read More
How to Calculate Price Elasticity of Demand Using the Midpoint Formula
Economics
December 28, 202512 min read

How to Calculate Price Elasticity of Demand Using the Midpoint Formula

Understand microeconomics with this complete walkthrough of calculating price elasticity of demand. Learn the midpoint formula, understand what elasticity values mean, and avoid the common mistakes that cost students points.

Read More
How to Find the Area Between Two Curves Using Integration
Calculus
December 26, 202513 min read

How to Find the Area Between Two Curves Using Integration

Get a complete guide to finding the area between curves using integration. Learn how to find intersection points, set up the integral correctly, and avoid the common mistakes that cost students points.

Read More
How to Calculate pH from the Molarity of a Strong Acid
Chemistry
December 26, 202511 min read

How to Calculate pH from the Molarity of a Strong Acid

Step-by-step guide to calculating pH from concentration in acid-base chemistry. Learn the pH formula, understand why strong acids are different, and avoid the common mistakes that trip up students.

Read More
How to Calculate Consumer and Producer Surplus from Market Equilibrium
Economics
December 26, 202514 min read

How to Calculate Consumer and Producer Surplus from Market Equilibrium

Complete walkthrough of calculating consumer and producer surplus in welfare economics. Learn how to find equilibrium, set up the integrals, and interpret what these measures actually mean for market efficiency.

Read More
How to Find the Electric Field from a Uniformly Charged Ring Along Its Axis
Physics
December 26, 202512 min read

How to Find the Electric Field from a Uniformly Charged Ring Along Its Axis

Learn electric field calculations with this complete walkthrough of a classic physics problem. Learn the integration setup, avoid common vector mistakes, and understand the symmetry arguments.

Read More
How to Find the Derivative of (3x² + 5x - 2)/(x² + 1) Using the Quotient Rule
Calculus
December 26, 202510 min read

How to Find the Derivative of (3x² + 5x - 2)/(x² + 1) Using the Quotient Rule

Step-by-step solution for applying the quotient rule in calculus. Learn how to identify u and v, apply the formula correctly, simplify the result, and avoid the 6 most common mistakes students make.

Read More

Stuck on a Different Problem?

Get instant, personalized video explanations for your homework

Create Your First Video